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Finding the Fourth Proportional to 392,257.88, 588,158.19 and 152,091.20

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Solution

The fourth proportional to 392,257.88, 588,158.19 and 152,091.20 is: 228,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.88 : 588,158.19 = 152,091.20 : x
  2. Step 2: Convert to fraction form
    392,257.88/588,158.19 = 152,091.20/x
  3. Step 3: Cross multiply
    392,257.88x = 588,158.19 × 152,091.20
  4. Step 4: Simplify right side
    392,257.88x = 89,453,684,171.73
  5. Step 5: Solve for x
    x = 89,453,684,171.73/392,257.88
  6. Step 6: Final answer
    x = 228,048.15

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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.