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Finding the Fourth Proportional to 257,584.47, 386,332.96 and 68,046.90

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Solution

The fourth proportional to 257,584.47, 386,332.96 and 68,046.90 is: 102,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.47 : 386,332.96 = 68,046.90 : x
  2. Step 2: Convert to fraction form
    257,584.47/386,332.96 = 68,046.90/x
  3. Step 3: Cross multiply
    257,584.47x = 386,332.96 × 68,046.90
  4. Step 4: Simplify right side
    257,584.47x = 26,288,760,295.82
  5. Step 5: Solve for x
    x = 26,288,760,295.82/257,584.47
  6. Step 6: Final answer
    x = 102,058.79

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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.