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Finding the Fourth Proportional to 485,761.80, 727,476.30 and 392,449.80

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Solution

The fourth proportional to 485,761.80, 727,476.30 and 392,449.80 is: 587,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,761.80 : 727,476.30 = 392,449.80 : x
  2. Step 2: Convert to fraction form
    485,761.80/727,476.30 = 392,449.80/x
  3. Step 3: Cross multiply
    485,761.80x = 727,476.30 × 392,449.80
  4. Step 4: Simplify right side
    485,761.80x = 285,497,928,439.74
  5. Step 5: Solve for x
    x = 285,497,928,439.74/485,761.80
  6. Step 6: Final answer
    x = 587,732.36

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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.