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Finding the Fourth Proportional to 408,174.57, 563,287.63 and 224,420.89

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Solution

The fourth proportional to 408,174.57, 563,287.63 and 224,420.89 is: 309,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,174.57 : 563,287.63 = 224,420.89 : x
  2. Step 2: Convert to fraction form
    408,174.57/563,287.63 = 224,420.89/x
  3. Step 3: Cross multiply
    408,174.57x = 563,287.63 × 224,420.89
  4. Step 4: Simplify right side
    408,174.57x = 126,413,508,720.27
  5. Step 5: Solve for x
    x = 126,413,508,720.27/408,174.57
  6. Step 6: Final answer
    x = 309,704.52

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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.