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Finding the Fourth Proportional to 494,146.88, 741,213.04 and 157,207.92

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Solution

The fourth proportional to 494,146.88, 741,213.04 and 157,207.92 is: 235,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,146.88 : 741,213.04 = 157,207.92 : x
  2. Step 2: Convert to fraction form
    494,146.88/741,213.04 = 157,207.92/x
  3. Step 3: Cross multiply
    494,146.88x = 741,213.04 × 157,207.92
  4. Step 4: Simplify right side
    494,146.88x = 116,524,560,295.28
  5. Step 5: Solve for x
    x = 116,524,560,295.28/494,146.88
  6. Step 6: Final answer
    x = 235,809.56

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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.