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Finding the Fourth Proportional to 378,994.24, 568,191.48 and 142,310.56

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Solution

The fourth proportional to 378,994.24, 568,191.48 and 142,310.56 is: 213,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,994.24 : 568,191.48 = 142,310.56 : x
  2. Step 2: Convert to fraction form
    378,994.24/568,191.48 = 142,310.56/x
  3. Step 3: Cross multiply
    378,994.24x = 568,191.48 × 142,310.56
  4. Step 4: Simplify right side
    378,994.24x = 80,859,647,706.03
  5. Step 5: Solve for x
    x = 80,859,647,706.03/378,994.24
  6. Step 6: Final answer
    x = 213,353.24

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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.