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Finding the Fourth Proportional to 422,962.68, 583,691.39 and 231,977.44

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Solution

The fourth proportional to 422,962.68, 583,691.39 and 231,977.44 is: 320,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,962.68 : 583,691.39 = 231,977.44 : x
  2. Step 2: Convert to fraction form
    422,962.68/583,691.39 = 231,977.44/x
  3. Step 3: Cross multiply
    422,962.68x = 583,691.39 × 231,977.44
  4. Step 4: Simplify right side
    422,962.68x = 135,403,234,841.88
  5. Step 5: Solve for x
    x = 135,403,234,841.88/422,962.68
  6. Step 6: Final answer
    x = 320,130.45

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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.