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Finding the Fourth Proportional to 327,459.04, 451,955.38 and 205,008.38

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Solution

The fourth proportional to 327,459.04, 451,955.38 and 205,008.38 is: 282,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,459.04 : 451,955.38 = 205,008.38 : x
  2. Step 2: Convert to fraction form
    327,459.04/451,955.38 = 205,008.38/x
  3. Step 3: Cross multiply
    327,459.04x = 451,955.38 × 205,008.38
  4. Step 4: Simplify right side
    327,459.04x = 92,654,640,286.08
  5. Step 5: Solve for x
    x = 92,654,640,286.08/327,459.04
  6. Step 6: Final answer
    x = 282,950.32

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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.