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Finding the Fourth Proportional to 493,951.75, 741,264.17 and 227,714.47

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Solution

The fourth proportional to 493,951.75, 741,264.17 and 227,714.47 is: 341,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,951.75 : 741,264.17 = 227,714.47 : x
  2. Step 2: Convert to fraction form
    493,951.75/741,264.17 = 227,714.47/x
  3. Step 3: Cross multiply
    493,951.75x = 741,264.17 × 227,714.47
  4. Step 4: Simplify right side
    493,951.75x = 168,796,577,601.54
  5. Step 5: Solve for x
    x = 168,796,577,601.54/493,951.75
  6. Step 6: Final answer
    x = 341,726.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.