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Finding the Fourth Proportional to 361,425.37, 498,769.94 and 200,283.11

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Solution

The fourth proportional to 361,425.37, 498,769.94 and 200,283.11 is: 276,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,425.37 : 498,769.94 = 200,283.11 : x
  2. Step 2: Convert to fraction form
    361,425.37/498,769.94 = 200,283.11/x
  3. Step 3: Cross multiply
    361,425.37x = 498,769.94 × 200,283.11
  4. Step 4: Simplify right side
    361,425.37x = 99,895,194,757.71
  5. Step 5: Solve for x
    x = 99,895,194,757.71/361,425.37
  6. Step 6: Final answer
    x = 276,392.32

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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.