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Finding the Fourth Proportional to 420,311.68, 629,638.08 and 315,249.28

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Solution

The fourth proportional to 420,311.68, 629,638.08 and 315,249.28 is: 472,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,311.68 : 629,638.08 = 315,249.28 : x
  2. Step 2: Convert to fraction form
    420,311.68/629,638.08 = 315,249.28/x
  3. Step 3: Cross multiply
    420,311.68x = 629,638.08 × 315,249.28
  4. Step 4: Simplify right side
    420,311.68x = 198,492,951,380.58
  5. Step 5: Solve for x
    x = 198,492,951,380.58/420,311.68
  6. Step 6: Final answer
    x = 472,251.81

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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.