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Finding the Fourth Proportional to 396,020.57, 594,325.95 and 159,365.03

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Solution

The fourth proportional to 396,020.57, 594,325.95 and 159,365.03 is: 239,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,020.57 : 594,325.95 = 159,365.03 : x
  2. Step 2: Convert to fraction form
    396,020.57/594,325.95 = 159,365.03/x
  3. Step 3: Cross multiply
    396,020.57x = 594,325.95 × 159,365.03
  4. Step 4: Simplify right side
    396,020.57x = 94,714,769,879.90
  5. Step 5: Solve for x
    x = 94,714,769,879.90/396,020.57
  6. Step 6: Final answer
    x = 239,166.29

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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.