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Finding the Fourth Proportional to 283,558.17, 391,309.97 and 156,233.73

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Solution

The fourth proportional to 283,558.17, 391,309.97 and 156,233.73 is: 215,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,558.17 : 391,309.97 = 156,233.73 : x
  2. Step 2: Convert to fraction form
    283,558.17/391,309.97 = 156,233.73/x
  3. Step 3: Cross multiply
    283,558.17x = 391,309.97 × 156,233.73
  4. Step 4: Simplify right side
    283,558.17x = 61,135,815,418.12
  5. Step 5: Solve for x
    x = 61,135,815,418.12/283,558.17
  6. Step 6: Final answer
    x = 215,602.38

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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.