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Finding the Fourth Proportional to 283,943.34, 391,787.28 and 170,773.38

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Solution

The fourth proportional to 283,943.34, 391,787.28 and 170,773.38 is: 235,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,943.34 : 391,787.28 = 170,773.38 : x
  2. Step 2: Convert to fraction form
    283,943.34/391,787.28 = 170,773.38/x
  3. Step 3: Cross multiply
    283,943.34x = 391,787.28 × 170,773.38
  4. Step 4: Simplify right side
    283,943.34x = 66,906,838,046.61
  5. Step 5: Solve for x
    x = 66,906,838,046.61/283,943.34
  6. Step 6: Final answer
    x = 235,634.47

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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.