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Finding the Fourth Proportional to 408,883.47, 564,259.08 and 227,591.52

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Solution

The fourth proportional to 408,883.47, 564,259.08 and 227,591.52 is: 314,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.47 : 564,259.08 = 227,591.52 : x
  2. Step 2: Convert to fraction form
    408,883.47/564,259.08 = 227,591.52/x
  3. Step 3: Cross multiply
    408,883.47x = 564,259.08 × 227,591.52
  4. Step 4: Simplify right side
    408,883.47x = 128,420,581,691.00
  5. Step 5: Solve for x
    x = 128,420,581,691.00/408,883.47
  6. Step 6: Final answer
    x = 314,076.24

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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.