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Finding the Fourth Proportional to 324,761.91, 487,131.92 and 114,394.38

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Solution

The fourth proportional to 324,761.91, 487,131.92 and 114,394.38 is: 171,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,761.91 : 487,131.92 = 114,394.38 : x
  2. Step 2: Convert to fraction form
    324,761.91/487,131.92 = 114,394.38/x
  3. Step 3: Cross multiply
    324,761.91x = 487,131.92 × 114,394.38
  4. Step 4: Simplify right side
    324,761.91x = 55,725,153,966.61
  5. Step 5: Solve for x
    x = 55,725,153,966.61/324,761.91
  6. Step 6: Final answer
    x = 171,587.71

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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.