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Finding the Fourth Proportional to 534,399.12, 738,408.96 and 420,582.24

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Solution

The fourth proportional to 534,399.12, 738,408.96 and 420,582.24 is: 581,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,399.12 : 738,408.96 = 420,582.24 : x
  2. Step 2: Convert to fraction form
    534,399.12/738,408.96 = 420,582.24/x
  3. Step 3: Cross multiply
    534,399.12x = 738,408.96 × 420,582.24
  4. Step 4: Simplify right side
    534,399.12x = 310,561,694,432.87
  5. Step 5: Solve for x
    x = 310,561,694,432.87/534,399.12
  6. Step 6: Final answer
    x = 581,141.85

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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.