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Finding the Fourth Proportional to 422,738.44, 583,379.08 and 231,753.20

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Solution

The fourth proportional to 422,738.44, 583,379.08 and 231,753.20 is: 319,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,738.44 : 583,379.08 = 231,753.20 : x
  2. Step 2: Convert to fraction form
    422,738.44/583,379.08 = 231,753.20/x
  3. Step 3: Cross multiply
    422,738.44x = 583,379.08 × 231,753.20
  4. Step 4: Simplify right side
    422,738.44x = 135,199,965,106.78
  5. Step 5: Solve for x
    x = 135,199,965,106.78/422,738.44
  6. Step 6: Final answer
    x = 319,819.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.