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Finding the Fourth Proportional to 414,512.60, 620,732.10 and 331,568.60

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Solution

The fourth proportional to 414,512.60, 620,732.10 and 331,568.60 is: 496,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,512.60 : 620,732.10 = 331,568.60 : x
  2. Step 2: Convert to fraction form
    414,512.60/620,732.10 = 331,568.60/x
  3. Step 3: Cross multiply
    414,512.60x = 620,732.10 × 331,568.60
  4. Step 4: Simplify right side
    414,512.60x = 205,815,273,372.06
  5. Step 5: Solve for x
    x = 205,815,273,372.06/414,512.60
  6. Step 6: Final answer
    x = 496,523.56

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Why These Related Problems?

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