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Finding the Fourth Proportional to 477,642.96, 716,204.84 and 237,229.43

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Solution

The fourth proportional to 477,642.96, 716,204.84 and 237,229.43 is: 355,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.96 : 716,204.84 = 237,229.43 : x
  2. Step 2: Convert to fraction form
    477,642.96/716,204.84 = 237,229.43/x
  3. Step 3: Cross multiply
    477,642.96x = 716,204.84 × 237,229.43
  4. Step 4: Simplify right side
    477,642.96x = 169,904,861,189.27
  5. Step 5: Solve for x
    x = 169,904,861,189.27/477,642.96
  6. Step 6: Final answer
    x = 355,715.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.