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Finding the Fourth Proportional to 494,517.84, 741,735.75 and 157,544.88

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Solution

The fourth proportional to 494,517.84, 741,735.75 and 157,544.88 is: 236,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,517.84 : 741,735.75 = 157,544.88 : x
  2. Step 2: Convert to fraction form
    494,517.84/741,735.75 = 157,544.88/x
  3. Step 3: Cross multiply
    494,517.84x = 741,735.75 × 157,544.88
  4. Step 4: Simplify right side
    494,517.84x = 116,856,669,725.46
  5. Step 5: Solve for x
    x = 116,856,669,725.46/494,517.84
  6. Step 6: Final answer
    x = 236,304.25

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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.