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Finding the Fourth Proportional to 462,797.60, 694,455.60 and 196,512.80

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Solution

The fourth proportional to 462,797.60, 694,455.60 and 196,512.80 is: 294,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,797.60 : 694,455.60 = 196,512.80 : x
  2. Step 2: Convert to fraction form
    462,797.60/694,455.60 = 196,512.80/x
  3. Step 3: Cross multiply
    462,797.60x = 694,455.60 × 196,512.80
  4. Step 4: Simplify right side
    462,797.60x = 136,469,414,431.68
  5. Step 5: Solve for x
    x = 136,469,414,431.68/462,797.60
  6. Step 6: Final answer
    x = 294,879.26

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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.