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Finding the Fourth Proportional to 402,267.13, 603,655.25 and 224,890.50

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Solution

The fourth proportional to 402,267.13, 603,655.25 and 224,890.50 is: 337,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,267.13 : 603,655.25 = 224,890.50 : x
  2. Step 2: Convert to fraction form
    402,267.13/603,655.25 = 224,890.50/x
  3. Step 3: Cross multiply
    402,267.13x = 603,655.25 × 224,890.50
  4. Step 4: Simplify right side
    402,267.13x = 135,756,331,000.13
  5. Step 5: Solve for x
    x = 135,756,331,000.13/402,267.13
  6. Step 6: Final answer
    x = 337,478.06

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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.