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Finding the Fourth Proportional to 422,081.52, 582,472.40 and 231,094.86

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Solution

The fourth proportional to 422,081.52, 582,472.40 and 231,094.86 is: 318,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,081.52 : 582,472.40 = 231,094.86 : x
  2. Step 2: Convert to fraction form
    422,081.52/582,472.40 = 231,094.86/x
  3. Step 3: Cross multiply
    422,081.52x = 582,472.40 × 231,094.86
  4. Step 4: Simplify right side
    422,081.52x = 134,606,376,576.39
  5. Step 5: Solve for x
    x = 134,606,376,576.39/422,081.52
  6. Step 6: Final answer
    x = 318,910.85

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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.