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Finding the Fourth Proportional to 329,227.74, 493,326.45 and 254,531.97

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Solution

The fourth proportional to 329,227.74, 493,326.45 and 254,531.97 is: 381,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,227.74 : 493,326.45 = 254,531.97 : x
  2. Step 2: Convert to fraction form
    329,227.74/493,326.45 = 254,531.97/x
  3. Step 3: Cross multiply
    329,227.74x = 493,326.45 × 254,531.97
  4. Step 4: Simplify right side
    329,227.74x = 125,567,353,171.61
  5. Step 5: Solve for x
    x = 125,567,353,171.61/329,227.74
  6. Step 6: Final answer
    x = 381,399.68

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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.