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Finding the Fourth Proportional to 512,453.98, 768,717.83 and 196,910.79

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Solution

The fourth proportional to 512,453.98, 768,717.83 and 196,910.79 is: 295,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,453.98 : 768,717.83 = 196,910.79 : x
  2. Step 2: Convert to fraction form
    512,453.98/768,717.83 = 196,910.79/x
  3. Step 3: Cross multiply
    512,453.98x = 768,717.83 × 196,910.79
  4. Step 4: Simplify right side
    512,453.98x = 151,368,835,192.39
  5. Step 5: Solve for x
    x = 151,368,835,192.39/512,453.98
  6. Step 6: Final answer
    x = 295,380.35

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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.