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Finding the Fourth Proportional to 564,947.67, 847,447.11 and 160,168.89

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Solution

The fourth proportional to 564,947.67, 847,447.11 and 160,168.89 is: 240,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,947.67 : 847,447.11 = 160,168.89 : x
  2. Step 2: Convert to fraction form
    564,947.67/847,447.11 = 160,168.89/x
  3. Step 3: Cross multiply
    564,947.67x = 847,447.11 × 160,168.89
  4. Step 4: Simplify right side
    564,947.67x = 135,734,662,942.41
  5. Step 5: Solve for x
    x = 135,734,662,942.41/564,947.67
  6. Step 6: Final answer
    x = 240,260.59

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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.