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Finding the Fourth Proportional to 361,992.08, 499,532.20 and 200,845.36

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Solution

The fourth proportional to 361,992.08, 499,532.20 and 200,845.36 is: 277,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,992.08 : 499,532.20 = 200,845.36 : x
  2. Step 2: Convert to fraction form
    361,992.08/499,532.20 = 200,845.36/x
  3. Step 3: Cross multiply
    361,992.08x = 499,532.20 × 200,845.36
  4. Step 4: Simplify right side
    361,992.08x = 100,328,724,540.59
  5. Step 5: Solve for x
    x = 100,328,724,540.59/361,992.08
  6. Step 6: Final answer
    x = 277,157.24

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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.