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Finding the Fourth Proportional to 415,943.52, 574,002.08 and 224,956.86

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Solution

The fourth proportional to 415,943.52, 574,002.08 and 224,956.86 is: 310,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,943.52 : 574,002.08 = 224,956.86 : x
  2. Step 2: Convert to fraction form
    415,943.52/574,002.08 = 224,956.86/x
  3. Step 3: Cross multiply
    415,943.52x = 574,002.08 × 224,956.86
  4. Step 4: Simplify right side
    415,943.52x = 129,125,705,550.27
  5. Step 5: Solve for x
    x = 129,125,705,550.27/415,943.52
  6. Step 6: Final answer
    x = 310,440.48

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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.