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Finding the Fourth Proportional to 393,694.44, 590,080.70 and 150,375.98

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Solution

The fourth proportional to 393,694.44, 590,080.70 and 150,375.98 is: 225,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,694.44 : 590,080.70 = 150,375.98 : x
  2. Step 2: Convert to fraction form
    393,694.44/590,080.70 = 150,375.98/x
  3. Step 3: Cross multiply
    393,694.44x = 590,080.70 × 150,375.98
  4. Step 4: Simplify right side
    393,694.44x = 88,733,959,839.30
  5. Step 5: Solve for x
    x = 88,733,959,839.30/393,694.44
  6. Step 6: Final answer
    x = 225,387.89

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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.