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Finding the Fourth Proportional to 402,239.96, 603,614.10 and 224,863.46

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Solution

The fourth proportional to 402,239.96, 603,614.10 and 224,863.46 is: 337,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,239.96 : 603,614.10 = 224,863.46 : x
  2. Step 2: Convert to fraction form
    402,239.96/603,614.10 = 224,863.46/x
  3. Step 3: Cross multiply
    402,239.96x = 603,614.10 × 224,863.46
  4. Step 4: Simplify right side
    402,239.96x = 135,730,755,030.79
  5. Step 5: Solve for x
    x = 135,730,755,030.79/402,239.96
  6. Step 6: Final answer
    x = 337,437.27

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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.