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Finding the Fourth Proportional to 361,425.09, 498,769.56 and 200,282.84

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Solution

The fourth proportional to 361,425.09, 498,769.56 and 200,282.84 is: 276,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,425.09 : 498,769.56 = 200,282.84 : x
  2. Step 2: Convert to fraction form
    361,425.09/498,769.56 = 200,282.84/x
  3. Step 3: Cross multiply
    361,425.09x = 498,769.56 × 200,282.84
  4. Step 4: Simplify right side
    361,425.09x = 99,894,981,488.50
  5. Step 5: Solve for x
    x = 99,894,981,488.50/361,425.09
  6. Step 6: Final answer
    x = 276,391.94

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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.