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Finding the Fourth Proportional to 361,425.41, 498,770.03 and 200,283.15

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Solution

The fourth proportional to 361,425.41, 498,770.03 and 200,283.15 is: 276,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,425.41 : 498,770.03 = 200,283.15 : x
  2. Step 2: Convert to fraction form
    361,425.41/498,770.03 = 200,283.15/x
  3. Step 3: Cross multiply
    361,425.41x = 498,770.03 × 200,283.15
  4. Step 4: Simplify right side
    361,425.41x = 99,895,231,736.21
  5. Step 5: Solve for x
    x = 99,895,231,736.21/361,425.41
  6. Step 6: Final answer
    x = 276,392.39

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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.