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Finding the Fourth Proportional to 396,022.80, 593,596.80 and 218,657.10

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Solution

The fourth proportional to 396,022.80, 593,596.80 and 218,657.10 is: 327,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,022.80 : 593,596.80 = 218,657.10 : x
  2. Step 2: Convert to fraction form
    396,022.80/593,596.80 = 218,657.10/x
  3. Step 3: Cross multiply
    396,022.80x = 593,596.80 × 218,657.10
  4. Step 4: Simplify right side
    396,022.80x = 129,794,154,857.28
  5. Step 5: Solve for x
    x = 129,794,154,857.28/396,022.80
  6. Step 6: Final answer
    x = 327,744.15

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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.