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Finding the Fourth Proportional to 494,584.56, 741,862.92 and 157,645.40

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Solution

The fourth proportional to 494,584.56, 741,862.92 and 157,645.40 is: 236,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,584.56 : 741,862.92 = 157,645.40 : x
  2. Step 2: Convert to fraction form
    494,584.56/741,862.92 = 157,645.40/x
  3. Step 3: Cross multiply
    494,584.56x = 741,862.92 × 157,645.40
  4. Step 4: Simplify right side
    494,584.56x = 116,951,276,768.57
  5. Step 5: Solve for x
    x = 116,951,276,768.57/494,584.56
  6. Step 6: Final answer
    x = 236,463.66

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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.