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Finding the Fourth Proportional to 408,255.38, 563,394.61 and 224,505.79

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Solution

The fourth proportional to 408,255.38, 563,394.61 and 224,505.79 is: 309,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,255.38 : 563,394.61 = 224,505.79 : x
  2. Step 2: Convert to fraction form
    408,255.38/563,394.61 = 224,505.79/x
  3. Step 3: Cross multiply
    408,255.38x = 563,394.61 × 224,505.79
  4. Step 4: Simplify right side
    408,255.38x = 126,485,352,635.21
  5. Step 5: Solve for x
    x = 126,485,352,635.21/408,255.38
  6. Step 6: Final answer
    x = 309,819.20

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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.