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Finding the Fourth Proportional to 564,375.27, 846,456.44 and 159,564.25

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Solution

The fourth proportional to 564,375.27, 846,456.44 and 159,564.25 is: 239,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,375.27 : 846,456.44 = 159,564.25 : x
  2. Step 2: Convert to fraction form
    564,375.27/846,456.44 = 159,564.25/x
  3. Step 3: Cross multiply
    564,375.27x = 846,456.44 × 159,564.25
  4. Step 4: Simplify right side
    564,375.27x = 135,064,187,006.27
  5. Step 5: Solve for x
    x = 135,064,187,006.27/564,375.27
  6. Step 6: Final answer
    x = 239,316.27

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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.