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Finding the Fourth Proportional to 462,190.60, 694,452.30 and 293,791.60

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Solution

The fourth proportional to 462,190.60, 694,452.30 and 293,791.60 is: 441,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,190.60 : 694,452.30 = 293,791.60 : x
  2. Step 2: Convert to fraction form
    462,190.60/694,452.30 = 293,791.60/x
  3. Step 3: Cross multiply
    462,190.60x = 694,452.30 × 293,791.60
  4. Step 4: Simplify right side
    462,190.60x = 204,024,252,340.68
  5. Step 5: Solve for x
    x = 204,024,252,340.68/462,190.60
  6. Step 6: Final answer
    x = 441,428.82

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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.