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Finding the Fourth Proportional to 423,352.26, 584,233.02 and 232,383.42

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Solution

The fourth proportional to 423,352.26, 584,233.02 and 232,383.42 is: 320,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,352.26 : 584,233.02 = 232,383.42 : x
  2. Step 2: Convert to fraction form
    423,352.26/584,233.02 = 232,383.42/x
  3. Step 3: Cross multiply
    423,352.26x = 584,233.02 × 232,383.42
  4. Step 4: Simplify right side
    423,352.26x = 135,766,067,264.53
  5. Step 5: Solve for x
    x = 135,766,067,264.53/423,352.26
  6. Step 6: Final answer
    x = 320,692.91

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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.