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Finding the Fourth Proportional to 422,581.84, 583,167.52 and 231,591.12

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Solution

The fourth proportional to 422,581.84, 583,167.52 and 231,591.12 is: 319,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,581.84 : 583,167.52 = 231,591.12 : x
  2. Step 2: Convert to fraction form
    422,581.84/583,167.52 = 231,591.12/x
  3. Step 3: Cross multiply
    422,581.84x = 583,167.52 × 231,591.12
  4. Step 4: Simplify right side
    422,581.84x = 135,056,419,104.42
  5. Step 5: Solve for x
    x = 135,056,419,104.42/422,581.84
  6. Step 6: Final answer
    x = 319,598.26

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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.