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Finding the Fourth Proportional to 402,266.38, 603,654.11 and 224,889.75

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Solution

The fourth proportional to 402,266.38, 603,654.11 and 224,889.75 is: 337,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,266.38 : 603,654.11 = 224,889.75 : x
  2. Step 2: Convert to fraction form
    402,266.38/603,654.11 = 224,889.75/x
  3. Step 3: Cross multiply
    402,266.38x = 603,654.11 × 224,889.75
  4. Step 4: Simplify right side
    402,266.38x = 135,755,621,884.37
  5. Step 5: Solve for x
    x = 135,755,621,884.37/402,266.38
  6. Step 6: Final answer
    x = 337,476.93

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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.