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Finding the Fourth Proportional to 361,709.36, 499,171.26 and 200,555

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Solution

The fourth proportional to 361,709.36, 499,171.26 and 200,555 is: 276,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,709.36 : 499,171.26 = 200,555 : x
  2. Step 2: Convert to fraction form
    361,709.36/499,171.26 = 200,555/x
  3. Step 3: Cross multiply
    361,709.36x = 499,171.26 × 200,555
  4. Step 4: Simplify right side
    361,709.36x = 100,111,292,049.30
  5. Step 5: Solve for x
    x = 100,111,292,049.30/361,709.36
  6. Step 6: Final answer
    x = 276,772.74

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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.