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Finding the Fourth Proportional to 492,241.30, 738,470.30 and 150,687.44

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Solution

The fourth proportional to 492,241.30, 738,470.30 and 150,687.44 is: 226,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,241.30 : 738,470.30 = 150,687.44 : x
  2. Step 2: Convert to fraction form
    492,241.30/738,470.30 = 150,687.44/x
  3. Step 3: Cross multiply
    492,241.30x = 738,470.30 × 150,687.44
  4. Step 4: Simplify right side
    492,241.30x = 111,278,199,023.03
  5. Step 5: Solve for x
    x = 111,278,199,023.03/492,241.30
  6. Step 6: Final answer
    x = 226,064.33

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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.