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Finding the Fourth Proportional to 414,513.10, 620,732.85 and 331,569.10

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Solution

The fourth proportional to 414,513.10, 620,732.85 and 331,569.10 is: 496,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,513.10 : 620,732.85 = 331,569.10 : x
  2. Step 2: Convert to fraction form
    414,513.10/620,732.85 = 331,569.10/x
  3. Step 3: Cross multiply
    414,513.10x = 620,732.85 × 331,569.10
  4. Step 4: Simplify right side
    414,513.10x = 205,815,832,414.94
  5. Step 5: Solve for x
    x = 205,815,832,414.94/414,513.10
  6. Step 6: Final answer
    x = 496,524.31

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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.