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Finding the Fourth Proportional to 494,517.80, 741,452.70 and 194,817.80

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Solution

The fourth proportional to 494,517.80, 741,452.70 and 194,817.80 is: 292,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,517.80 : 741,452.70 = 194,817.80 : x
  2. Step 2: Convert to fraction form
    494,517.80/741,452.70 = 194,817.80/x
  3. Step 3: Cross multiply
    494,517.80x = 741,452.70 × 194,817.80
  4. Step 4: Simplify right side
    494,517.80x = 144,448,183,818.06
  5. Step 5: Solve for x
    x = 144,448,183,818.06/494,517.80
  6. Step 6: Final answer
    x = 292,099.06

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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.