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Finding the Fourth Proportional to 391,171.44, 586,757.15 and 213,581.57

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Solution

The fourth proportional to 391,171.44, 586,757.15 and 213,581.57 is: 320,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,171.44 : 586,757.15 = 213,581.57 : x
  2. Step 2: Convert to fraction form
    391,171.44/586,757.15 = 213,581.57/x
  3. Step 3: Cross multiply
    391,171.44x = 586,757.15 × 213,581.57
  4. Step 4: Simplify right side
    391,171.44x = 125,320,509,304.03
  5. Step 5: Solve for x
    x = 125,320,509,304.03/391,171.44
  6. Step 6: Final answer
    x = 320,372.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.