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Finding the Fourth Proportional to 391,456.80, 587,207.52 and 110,952

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Solution

The fourth proportional to 391,456.80, 587,207.52 and 110,952 is: 166,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,456.80 : 587,207.52 = 110,952 : x
  2. Step 2: Convert to fraction form
    391,456.80/587,207.52 = 110,952/x
  3. Step 3: Cross multiply
    391,456.80x = 587,207.52 × 110,952
  4. Step 4: Simplify right side
    391,456.80x = 65,151,848,759.04
  5. Step 5: Solve for x
    x = 65,151,848,759.04/391,456.80
  6. Step 6: Final answer
    x = 166,434.33

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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.