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Finding the Fourth Proportional to 311,266.44, 467,319.43 and 199,165.48

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Solution

The fourth proportional to 311,266.44, 467,319.43 and 199,165.48 is: 299,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,266.44 : 467,319.43 = 199,165.48 : x
  2. Step 2: Convert to fraction form
    311,266.44/467,319.43 = 199,165.48/x
  3. Step 3: Cross multiply
    311,266.44x = 467,319.43 × 199,165.48
  4. Step 4: Simplify right side
    311,266.44x = 93,073,896,252.68
  5. Step 5: Solve for x
    x = 93,073,896,252.68/311,266.44
  6. Step 6: Final answer
    x = 299,016.81

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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.