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Finding the Fourth Proportional to 392,331, 588,497.94 and 96,843

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Solution

The fourth proportional to 392,331, 588,497.94 and 96,843 is: 145,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,331 : 588,497.94 = 96,843 : x
  2. Step 2: Convert to fraction form
    392,331/588,497.94 = 96,843/x
  3. Step 3: Cross multiply
    392,331x = 588,497.94 × 96,843
  4. Step 4: Simplify right side
    392,331x = 56,991,906,003.42
  5. Step 5: Solve for x
    x = 56,991,906,003.42/392,331
  6. Step 6: Final answer
    x = 145,264.86

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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.