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Finding the Fourth Proportional to 361,589.93, 498,960.57 and 200,431.27

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Solution

The fourth proportional to 361,589.93, 498,960.57 and 200,431.27 is: 276,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,589.93 : 498,960.57 = 200,431.27 : x
  2. Step 2: Convert to fraction form
    361,589.93/498,960.57 = 200,431.27/x
  3. Step 3: Cross multiply
    361,589.93x = 498,960.57 × 200,431.27
  4. Step 4: Simplify right side
    361,589.93x = 100,007,300,725.02
  5. Step 5: Solve for x
    x = 100,007,300,725.02/361,589.93
  6. Step 6: Final answer
    x = 276,576.56

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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.