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Finding the Fourth Proportional to 494,304.41, 741,456.67 and 178,687.51

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Solution

The fourth proportional to 494,304.41, 741,456.67 and 178,687.51 is: 268,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,304.41 : 741,456.67 = 178,687.51 : x
  2. Step 2: Convert to fraction form
    494,304.41/741,456.67 = 178,687.51/x
  3. Step 3: Cross multiply
    494,304.41x = 741,456.67 × 178,687.51
  4. Step 4: Simplify right side
    494,304.41x = 132,489,046,135.19
  5. Step 5: Solve for x
    x = 132,489,046,135.19/494,304.41
  6. Step 6: Final answer
    x = 268,031.28

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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.