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Finding the Fourth Proportional to 462,605.60, 694,167.60 and 196,320.80

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Solution

The fourth proportional to 462,605.60, 694,167.60 and 196,320.80 is: 294,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,605.60 : 694,167.60 = 196,320.80 : x
  2. Step 2: Convert to fraction form
    462,605.60/694,167.60 = 196,320.80/x
  3. Step 3: Cross multiply
    462,605.60x = 694,167.60 × 196,320.80
  4. Step 4: Simplify right side
    462,605.60x = 136,279,538,566.08
  5. Step 5: Solve for x
    x = 136,279,538,566.08/462,605.60
  6. Step 6: Final answer
    x = 294,591.20

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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.