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Finding the Fourth Proportional to 327,063.42, 451,371.29 and 199,763.01

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Solution

The fourth proportional to 327,063.42, 451,371.29 and 199,763.01 is: 275,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,063.42 : 451,371.29 = 199,763.01 : x
  2. Step 2: Convert to fraction form
    327,063.42/451,371.29 = 199,763.01/x
  3. Step 3: Cross multiply
    327,063.42x = 451,371.29 × 199,763.01
  4. Step 4: Simplify right side
    327,063.42x = 90,167,286,519.17
  5. Step 5: Solve for x
    x = 90,167,286,519.17/327,063.42
  6. Step 6: Final answer
    x = 275,687.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.