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Finding the Fourth Proportional to 564,469.56, 846,616.86 and 165,016.44

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Solution

The fourth proportional to 564,469.56, 846,616.86 and 165,016.44 is: 247,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,469.56 : 846,616.86 = 165,016.44 : x
  2. Step 2: Convert to fraction form
    564,469.56/846,616.86 = 165,016.44/x
  3. Step 3: Cross multiply
    564,469.56x = 846,616.86 × 165,016.44
  4. Step 4: Simplify right side
    564,469.56x = 139,705,700,281.18
  5. Step 5: Solve for x
    x = 139,705,700,281.18/564,469.56
  6. Step 6: Final answer
    x = 247,499.09

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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.