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Finding the Fourth Proportional to 422,965.12, 583,692.24 and 231,982.24

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Solution

The fourth proportional to 422,965.12, 583,692.24 and 231,982.24 is: 320,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,965.12 : 583,692.24 = 231,982.24 : x
  2. Step 2: Convert to fraction form
    422,965.12/583,692.24 = 231,982.24/x
  3. Step 3: Cross multiply
    422,965.12x = 583,692.24 × 231,982.24
  4. Step 4: Simplify right side
    422,965.12x = 135,406,233,305.82
  5. Step 5: Solve for x
    x = 135,406,233,305.82/422,965.12
  6. Step 6: Final answer
    x = 320,135.70

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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.