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Finding the Fourth Proportional to 391,229.56, 586,844.34 and 110,749.24

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Solution

The fourth proportional to 391,229.56, 586,844.34 and 110,749.24 is: 166,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,229.56 : 586,844.34 = 110,749.24 : x
  2. Step 2: Convert to fraction form
    391,229.56/586,844.34 = 110,749.24/x
  3. Step 3: Cross multiply
    391,229.56x = 586,844.34 × 110,749.24
  4. Step 4: Simplify right side
    391,229.56x = 64,992,564,653.30
  5. Step 5: Solve for x
    x = 64,992,564,653.30/391,229.56
  6. Step 6: Final answer
    x = 166,123.86

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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.