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Finding the Fourth Proportional to 412,082.56, 617,016.43 and 261,507.61

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Solution

The fourth proportional to 412,082.56, 617,016.43 and 261,507.61 is: 391,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,082.56 : 617,016.43 = 261,507.61 : x
  2. Step 2: Convert to fraction form
    412,082.56/617,016.43 = 261,507.61/x
  3. Step 3: Cross multiply
    412,082.56x = 617,016.43 × 261,507.61
  4. Step 4: Simplify right side
    412,082.56x = 161,354,491,940.03
  5. Step 5: Solve for x
    x = 161,354,491,940.03/412,082.56
  6. Step 6: Final answer
    x = 391,558.65

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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.