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Finding the Fourth Proportional to 415,078.24, 572,769.12 and 245,279.92

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Solution

The fourth proportional to 415,078.24, 572,769.12 and 245,279.92 is: 338,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,078.24 : 572,769.12 = 245,279.92 : x
  2. Step 2: Convert to fraction form
    415,078.24/572,769.12 = 245,279.92/x
  3. Step 3: Cross multiply
    415,078.24x = 572,769.12 × 245,279.92
  4. Step 4: Simplify right side
    415,078.24x = 140,488,763,932.07
  5. Step 5: Solve for x
    x = 140,488,763,932.07/415,078.24
  6. Step 6: Final answer
    x = 338,463.33

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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.