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Finding the Fourth Proportional to 392,462.25, 588,781.13 and 143,144.25

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Solution

The fourth proportional to 392,462.25, 588,781.13 and 143,144.25 is: 214,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,462.25 : 588,781.13 = 143,144.25 : x
  2. Step 2: Convert to fraction form
    392,462.25/588,781.13 = 143,144.25/x
  3. Step 3: Cross multiply
    392,462.25x = 588,781.13 × 143,144.25
  4. Step 4: Simplify right side
    392,462.25x = 84,280,632,552.28
  5. Step 5: Solve for x
    x = 84,280,632,552.28/392,462.25
  6. Step 6: Final answer
    x = 214,748.38

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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.