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Finding the Fourth Proportional to 502,431.24, 752,304.96 and 422,715

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Solution

The fourth proportional to 502,431.24, 752,304.96 and 422,715 is: 632,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,431.24 : 752,304.96 = 422,715 : x
  2. Step 2: Convert to fraction form
    502,431.24/752,304.96 = 422,715/x
  3. Step 3: Cross multiply
    502,431.24x = 752,304.96 × 422,715
  4. Step 4: Simplify right side
    502,431.24x = 318,010,591,166.40
  5. Step 5: Solve for x
    x = 318,010,591,166.40/502,431.24
  6. Step 6: Final answer
    x = 632,943.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.