To determine which country had the highest casualty rate in relation to their total forces, we need to calculate the casualty rate for each country and then compare them.
### Step-by-Step Solution:
1. Germany:
- Total Forces: 11,000,000
- Total Casualties: 7,142,558
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{7,142,558}{11,000,000} \approx 0.6493 \)[/tex] or approximately 64.93%
2. Austria-Hungary:
- Total Forces: 7,800,888
- Total Casualties: 7,020,000
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{7,020,000}{7,800,888} \approx 0.8999 \)[/tex] or approximately 89.99%
3. Ottoman Empire:
- Total Forces: 2,850,000
- Total Casualties: 975,000
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{975,000}{2,850,000} \approx 0.3421 \)[/tex] or approximately 34.21%
Now, let's compare these calculated casualty rates:
- Germany: 64.93%
- Austria-Hungary: 89.99%
- Ottoman Empire: 34.21%
Among the three countries, Austria-Hungary has the highest casualty rate of approximately 89.99%.
Therefore, according to the chart, Austria-Hungary had the highest casualty rate in relation to their total forces.