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Finding the Fourth Proportional to 361,593.06, 498,945.96 and 200,448

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Solution

The fourth proportional to 361,593.06, 498,945.96 and 200,448 is: 276,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,593.06 : 498,945.96 = 200,448 : x
  2. Step 2: Convert to fraction form
    361,593.06/498,945.96 = 200,448/x
  3. Step 3: Cross multiply
    361,593.06x = 498,945.96 × 200,448
  4. Step 4: Simplify right side
    361,593.06x = 100,012,719,790.08
  5. Step 5: Solve for x
    x = 100,012,719,790.08/361,593.06
  6. Step 6: Final answer
    x = 276,589.16

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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.