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Finding the Fourth Proportional to 512,093.79, 768,177.60 and 196,550.70

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Solution

The fourth proportional to 512,093.79, 768,177.60 and 196,550.70 is: 294,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,093.79 : 768,177.60 = 196,550.70 : x
  2. Step 2: Convert to fraction form
    512,093.79/768,177.60 = 196,550.70/x
  3. Step 3: Cross multiply
    512,093.79x = 768,177.60 × 196,550.70
  4. Step 4: Simplify right side
    512,093.79x = 150,985,844,021.57
  5. Step 5: Solve for x
    x = 150,985,844,021.57/512,093.79
  6. Step 6: Final answer
    x = 294,840.22

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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.