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Finding the Fourth Proportional to 564,665.72, 847,042.97 and 159,851.37

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Solution

The fourth proportional to 564,665.72, 847,042.97 and 159,851.37 is: 239,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,665.72 : 847,042.97 = 159,851.37 : x
  2. Step 2: Convert to fraction form
    564,665.72/847,042.97 = 159,851.37/x
  3. Step 3: Cross multiply
    564,665.72x = 847,042.97 × 159,851.37
  4. Step 4: Simplify right side
    564,665.72x = 135,400,979,603.00
  5. Step 5: Solve for x
    x = 135,400,979,603.00/564,665.72
  6. Step 6: Final answer
    x = 239,789.62

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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.