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Finding the Fourth Proportional to 512,162.70, 768,244.05 and 196,627.20

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Solution

The fourth proportional to 512,162.70, 768,244.05 and 196,627.20 is: 294,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,162.70 : 768,244.05 = 196,627.20 : x
  2. Step 2: Convert to fraction form
    512,162.70/768,244.05 = 196,627.20/x
  3. Step 3: Cross multiply
    512,162.70x = 768,244.05 × 196,627.20
  4. Step 4: Simplify right side
    512,162.70x = 151,057,676,468.16
  5. Step 5: Solve for x
    x = 151,057,676,468.16/512,162.70
  6. Step 6: Final answer
    x = 294,940.80

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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.