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Finding the Fourth Proportional to 564,474.56, 846,859.38 and 327,589.52

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Solution

The fourth proportional to 564,474.56, 846,859.38 and 327,589.52 is: 491,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,474.56 : 846,859.38 = 327,589.52 : x
  2. Step 2: Convert to fraction form
    564,474.56/846,859.38 = 327,589.52/x
  3. Step 3: Cross multiply
    564,474.56x = 846,859.38 × 327,589.52
  4. Step 4: Simplify right side
    564,474.56x = 277,422,257,801.70
  5. Step 5: Solve for x
    x = 277,422,257,801.70/564,474.56
  6. Step 6: Final answer
    x = 491,469.90

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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.