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Finding the Fourth Proportional to 378,422.27, 566,500 and 364,963.92

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Solution

The fourth proportional to 378,422.27, 566,500 and 364,963.92 is: 546,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,422.27 : 566,500 = 364,963.92 : x
  2. Step 2: Convert to fraction form
    378,422.27/566,500 = 364,963.92/x
  3. Step 3: Cross multiply
    378,422.27x = 566,500 × 364,963.92
  4. Step 4: Simplify right side
    378,422.27x = 206,752,060,680
  5. Step 5: Solve for x
    x = 206,752,060,680/378,422.27
  6. Step 6: Final answer
    x = 546,352.78

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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.