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Finding the Fourth Proportional to 494,422.88, 741,194.48 and 178,809.62

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Solution

The fourth proportional to 494,422.88, 741,194.48 and 178,809.62 is: 268,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,422.88 : 741,194.48 = 178,809.62 : x
  2. Step 2: Convert to fraction form
    494,422.88/741,194.48 = 178,809.62/x
  3. Step 3: Cross multiply
    494,422.88x = 741,194.48 × 178,809.62
  4. Step 4: Simplify right side
    494,422.88x = 132,532,700,055.95
  5. Step 5: Solve for x
    x = 132,532,700,055.95/494,422.88
  6. Step 6: Final answer
    x = 268,055.36

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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.