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Finding the Fourth Proportional to 512,906.40, 768,711.60 and 196,941.60

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Solution

The fourth proportional to 512,906.40, 768,711.60 and 196,941.60 is: 295,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,906.40 : 768,711.60 = 196,941.60 : x
  2. Step 2: Convert to fraction form
    512,906.40/768,711.60 = 196,941.60/x
  3. Step 3: Cross multiply
    512,906.40x = 768,711.60 × 196,941.60
  4. Step 4: Simplify right side
    512,906.40x = 151,391,292,442.56
  5. Step 5: Solve for x
    x = 151,391,292,442.56/512,906.40
  6. Step 6: Final answer
    x = 295,163.59

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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.