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Finding the Fourth Proportional to 422,764.58, 583,414.98 and 231,773.87

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Solution

The fourth proportional to 422,764.58, 583,414.98 and 231,773.87 is: 319,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.58 : 583,414.98 = 231,773.87 : x
  2. Step 2: Convert to fraction form
    422,764.58/583,414.98 = 231,773.87/x
  3. Step 3: Cross multiply
    422,764.58x = 583,414.98 × 231,773.87
  4. Step 4: Simplify right side
    422,764.58x = 135,220,347,730.57
  5. Step 5: Solve for x
    x = 135,220,347,730.57/422,764.58
  6. Step 6: Final answer
    x = 319,847.86

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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.