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Finding the Fourth Proportional to 512,295.06, 768,479.50 and 196,751.97

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Solution

The fourth proportional to 512,295.06, 768,479.50 and 196,751.97 is: 295,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,295.06 : 768,479.50 = 196,751.97 : x
  2. Step 2: Convert to fraction form
    512,295.06/768,479.50 = 196,751.97/x
  3. Step 3: Cross multiply
    512,295.06x = 768,479.50 × 196,751.97
  4. Step 4: Simplify right side
    512,295.06x = 151,199,855,037.74
  5. Step 5: Solve for x
    x = 151,199,855,037.74/512,295.06
  6. Step 6: Final answer
    x = 295,142.13

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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.