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Finding the Fourth Proportional to 392,331.50, 588,498.69 and 96,843.50

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Solution

The fourth proportional to 392,331.50, 588,498.69 and 96,843.50 is: 145,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,331.50 : 588,498.69 = 96,843.50 : x
  2. Step 2: Convert to fraction form
    392,331.50/588,498.69 = 96,843.50/x
  3. Step 3: Cross multiply
    392,331.50x = 588,498.69 × 96,843.50
  4. Step 4: Simplify right side
    392,331.50x = 56,992,272,885.02
  5. Step 5: Solve for x
    x = 56,992,272,885.02/392,331.50
  6. Step 6: Final answer
    x = 145,265.61

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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.