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Finding the Fourth Proportional to 392,257.73, 588,474.61 and 126,033.41

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Solution

The fourth proportional to 392,257.73, 588,474.61 and 126,033.41 is: 189,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.73 : 588,474.61 = 126,033.41 : x
  2. Step 2: Convert to fraction form
    392,257.73/588,474.61 = 126,033.41/x
  3. Step 3: Cross multiply
    392,257.73x = 588,474.61 × 126,033.41
  4. Step 4: Simplify right side
    392,257.73x = 74,167,458,539.26
  5. Step 5: Solve for x
    x = 74,167,458,539.26/392,257.73
  6. Step 6: Final answer
    x = 189,078.39

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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.