Finding the Fourth Proportional to 296,438.40, 409,084.56 and 160,471.68
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Solution
The fourth proportional to 296,438.40, 409,084.56 and 160,471.68 is: 221,450.68
Step by Step Solution
- Step 1: Write the proportion equation
296,438.40 : 409,084.56 = 160,471.68 : x - Step 2: Convert to fraction form
296,438.40/409,084.56 = 160,471.68/x - Step 3: Cross multiply
296,438.40x = 409,084.56 × 160,471.68 - Step 4: Simplify right side
296,438.40x = 65,646,486,605.26 - Step 5: Solve for x
x = 65,646,486,605.26/296,438.40 - Step 6: Final answer
x = 221,450.68
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.