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Finding the Fourth Proportional to 396,952.20, 547,754.54 and 224,835.91

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Solution

The fourth proportional to 396,952.20, 547,754.54 and 224,835.91 is: 310,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,952.20 : 547,754.54 = 224,835.91 : x
  2. Step 2: Convert to fraction form
    396,952.20/547,754.54 = 224,835.91/x
  3. Step 3: Cross multiply
    396,952.20x = 547,754.54 × 224,835.91
  4. Step 4: Simplify right side
    396,952.20x = 123,154,887,963.97
  5. Step 5: Solve for x
    x = 123,154,887,963.97/396,952.20
  6. Step 6: Final answer
    x = 310,251.18

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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.