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Finding the Fourth Proportional to 386,859.71, 580,372.49 and 116,964.78

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Solution

The fourth proportional to 386,859.71, 580,372.49 and 116,964.78 is: 175,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,859.71 : 580,372.49 = 116,964.78 : x
  2. Step 2: Convert to fraction form
    386,859.71/580,372.49 = 116,964.78/x
  3. Step 3: Cross multiply
    386,859.71x = 580,372.49 × 116,964.78
  4. Step 4: Simplify right side
    386,859.71x = 67,883,138,726.92
  5. Step 5: Solve for x
    x = 67,883,138,726.92/386,859.71
  6. Step 6: Final answer
    x = 175,472.24

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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.