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Finding the Fourth Proportional to 311,531.77, 467,297.71 and 98,321.24

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Solution

The fourth proportional to 311,531.77, 467,297.71 and 98,321.24 is: 147,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,531.77 : 467,297.71 = 98,321.24 : x
  2. Step 2: Convert to fraction form
    311,531.77/467,297.71 = 98,321.24/x
  3. Step 3: Cross multiply
    311,531.77x = 467,297.71 × 98,321.24
  4. Step 4: Simplify right side
    311,531.77x = 45,945,291,218.80
  5. Step 5: Solve for x
    x = 45,945,291,218.80/311,531.77
  6. Step 6: Final answer
    x = 147,481.88

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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.