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Finding the Fourth Proportional to 422,776.26, 583,436.93 and 231,789.20

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Solution

The fourth proportional to 422,776.26, 583,436.93 and 231,789.20 is: 319,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,776.26 : 583,436.93 = 231,789.20 : x
  2. Step 2: Convert to fraction form
    422,776.26/583,436.93 = 231,789.20/x
  3. Step 3: Cross multiply
    422,776.26x = 583,436.93 × 231,789.20
  4. Step 4: Simplify right side
    422,776.26x = 135,234,375,179.03
  5. Step 5: Solve for x
    x = 135,234,375,179.03/422,776.26
  6. Step 6: Final answer
    x = 319,872.21

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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.