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Finding the Fourth Proportional to 361,222.38, 498,464.91 and 200,067.84

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Solution

The fourth proportional to 361,222.38, 498,464.91 and 200,067.84 is: 276,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,222.38 : 498,464.91 = 200,067.84 : x
  2. Step 2: Convert to fraction form
    361,222.38/498,464.91 = 200,067.84/x
  3. Step 3: Cross multiply
    361,222.38x = 498,464.91 × 200,067.84
  4. Step 4: Simplify right side
    361,222.38x = 99,726,797,859.49
  5. Step 5: Solve for x
    x = 99,726,797,859.49/361,222.38
  6. Step 6: Final answer
    x = 276,081.45

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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.