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Finding the Fourth Proportional to 512,294.87, 768,479.19 and 196,751.76

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Solution

The fourth proportional to 512,294.87, 768,479.19 and 196,751.76 is: 295,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,294.87 : 768,479.19 = 196,751.76 : x
  2. Step 2: Convert to fraction form
    512,294.87/768,479.19 = 196,751.76/x
  3. Step 3: Cross multiply
    512,294.87x = 768,479.19 × 196,751.76
  4. Step 4: Simplify right side
    512,294.87x = 151,199,633,155.87
  5. Step 5: Solve for x
    x = 151,199,633,155.87/512,294.87
  6. Step 6: Final answer
    x = 295,141.81

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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.