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Finding the Fourth Proportional to 361,816.30, 499,336.32 and 200,723.20

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Solution

The fourth proportional to 361,816.30, 499,336.32 and 200,723.20 is: 277,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,816.30 : 499,336.32 = 200,723.20 : x
  2. Step 2: Convert to fraction form
    361,816.30/499,336.32 = 200,723.20/x
  3. Step 3: Cross multiply
    361,816.30x = 499,336.32 × 200,723.20
  4. Step 4: Simplify right side
    361,816.30x = 100,228,384,026.62
  5. Step 5: Solve for x
    x = 100,228,384,026.62/361,816.30
  6. Step 6: Final answer
    x = 277,014.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.