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Finding the Fourth Proportional to 361,905.20, 499,445.56 and 200,760.36

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Solution

The fourth proportional to 361,905.20, 499,445.56 and 200,760.36 is: 277,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,905.20 : 499,445.56 = 200,760.36 : x
  2. Step 2: Convert to fraction form
    361,905.20/499,445.56 = 200,760.36/x
  3. Step 3: Cross multiply
    361,905.20x = 499,445.56 × 200,760.36
  4. Step 4: Simplify right side
    361,905.20x = 100,268,870,426.00
  5. Step 5: Solve for x
    x = 100,268,870,426.00/361,905.20
  6. Step 6: Final answer
    x = 277,058.39

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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.