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Finding the Fourth Proportional to 494,114.20, 741,163.50 and 157,150

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Solution

The fourth proportional to 494,114.20, 741,163.50 and 157,150 is: 235,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,114.20 : 741,163.50 = 157,150 : x
  2. Step 2: Convert to fraction form
    494,114.20/741,163.50 = 157,150/x
  3. Step 3: Cross multiply
    494,114.20x = 741,163.50 × 157,150
  4. Step 4: Simplify right side
    494,114.20x = 116,473,844,025
  5. Step 5: Solve for x
    x = 116,473,844,025/494,114.20
  6. Step 6: Final answer
    x = 235,722.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.