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Finding the Fourth Proportional to 403,713.92, 605,945.41 and 204,175.69

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Solution

The fourth proportional to 403,713.92, 605,945.41 and 204,175.69 is: 306,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713.92 : 605,945.41 = 204,175.69 : x
  2. Step 2: Convert to fraction form
    403,713.92/605,945.41 = 204,175.69/x
  3. Step 3: Cross multiply
    403,713.92x = 605,945.41 × 204,175.69
  4. Step 4: Simplify right side
    403,713.92x = 123,719,320,163.78
  5. Step 5: Solve for x
    x = 123,719,320,163.78/403,713.92
  6. Step 6: Final answer
    x = 306,452.94

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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.