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Finding the Fourth Proportional to 396,005.92, 593,998.80 and 115,525.60

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Solution

The fourth proportional to 396,005.92, 593,998.80 and 115,525.60 is: 173,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,005.92 : 593,998.80 = 115,525.60 : x
  2. Step 2: Convert to fraction form
    396,005.92/593,998.80 = 115,525.60/x
  3. Step 3: Cross multiply
    396,005.92x = 593,998.80 × 115,525.60
  4. Step 4: Simplify right side
    396,005.92x = 68,622,067,769.28
  5. Step 5: Solve for x
    x = 68,622,067,769.28/396,005.92
  6. Step 6: Final answer
    x = 173,285.46

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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.