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Finding the Fourth Proportional to 283,887.38, 391,792.20 and 212,142.80

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Solution

The fourth proportional to 283,887.38, 391,792.20 and 212,142.80 is: 292,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,887.38 : 391,792.20 = 212,142.80 : x
  2. Step 2: Convert to fraction form
    283,887.38/391,792.20 = 212,142.80/x
  3. Step 3: Cross multiply
    283,887.38x = 391,792.20 × 212,142.80
  4. Step 4: Simplify right side
    283,887.38x = 83,115,894,326.16
  5. Step 5: Solve for x
    x = 83,115,894,326.16/283,887.38
  6. Step 6: Final answer
    x = 292,777.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.