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Finding the Fourth Proportional to 392,297.48, 588,446.23 and 111,807.44

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Solution

The fourth proportional to 392,297.48, 588,446.23 and 111,807.44 is: 167,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,297.48 : 588,446.23 = 111,807.44 : x
  2. Step 2: Convert to fraction form
    392,297.48/588,446.23 = 111,807.44/x
  3. Step 3: Cross multiply
    392,297.48x = 588,446.23 × 111,807.44
  4. Step 4: Simplify right side
    392,297.48x = 65,792,666,553.95
  5. Step 5: Solve for x
    x = 65,792,666,553.95/392,297.48
  6. Step 6: Final answer
    x = 167,711.16

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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.