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Finding the Fourth Proportional to 398,190.26, 597,049.20 and 158,175.20

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Solution

The fourth proportional to 398,190.26, 597,049.20 and 158,175.20 is: 237,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,190.26 : 597,049.20 = 158,175.20 : x
  2. Step 2: Convert to fraction form
    398,190.26/597,049.20 = 158,175.20/x
  3. Step 3: Cross multiply
    398,190.26x = 597,049.20 × 158,175.20
  4. Step 4: Simplify right side
    398,190.26x = 94,438,378,112.46
  5. Step 5: Solve for x
    x = 94,438,378,112.46/398,190.26
  6. Step 6: Final answer
    x = 237,168.98

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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.