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Finding the Fourth Proportional to 361,568.67, 498,956.82 and 200,422.30

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Solution

The fourth proportional to 361,568.67, 498,956.82 and 200,422.30 is: 276,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,568.67 : 498,956.82 = 200,422.30 : x
  2. Step 2: Convert to fraction form
    361,568.67/498,956.82 = 200,422.30/x
  3. Step 3: Cross multiply
    361,568.67x = 498,956.82 × 200,422.30
  4. Step 4: Simplify right side
    361,568.67x = 100,002,073,465.09
  5. Step 5: Solve for x
    x = 100,002,073,465.09/361,568.67
  6. Step 6: Final answer
    x = 276,578.37

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1.5x scale

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.