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Finding the Fourth Proportional to 512,296.20, 768,481.20 and 196,753.10

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Solution

The fourth proportional to 512,296.20, 768,481.20 and 196,753.10 is: 295,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,296.20 : 768,481.20 = 196,753.10 : x
  2. Step 2: Convert to fraction form
    512,296.20/768,481.20 = 196,753.10/x
  3. Step 3: Cross multiply
    512,296.20x = 768,481.20 × 196,753.10
  4. Step 4: Simplify right side
    512,296.20x = 151,201,060,312.92
  5. Step 5: Solve for x
    x = 151,201,060,312.92/512,296.20
  6. Step 6: Final answer
    x = 295,143.83

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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.