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Finding the Fourth Proportional to 283,759.19, 391,590.40 and 156,439.34

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Solution

The fourth proportional to 283,759.19, 391,590.40 and 156,439.34 is: 215,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,759.19 : 391,590.40 = 156,439.34 : x
  2. Step 2: Convert to fraction form
    283,759.19/391,590.40 = 156,439.34/x
  3. Step 3: Cross multiply
    283,759.19x = 391,590.40 × 156,439.34
  4. Step 4: Simplify right side
    283,759.19x = 61,260,141,768.38
  5. Step 5: Solve for x
    x = 61,260,141,768.38/283,759.19
  6. Step 6: Final answer
    x = 215,887.78

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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.