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Finding the Fourth Proportional to 512,296.06, 768,481 and 196,752.97

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Solution

The fourth proportional to 512,296.06, 768,481 and 196,752.97 is: 295,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,296.06 : 768,481 = 196,752.97 : x
  2. Step 2: Convert to fraction form
    512,296.06/768,481 = 196,752.97/x
  3. Step 3: Cross multiply
    512,296.06x = 768,481 × 196,752.97
  4. Step 4: Simplify right side
    512,296.06x = 151,200,919,138.57
  5. Step 5: Solve for x
    x = 151,200,919,138.57/512,296.06
  6. Step 6: Final answer
    x = 295,143.63

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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.