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Finding the Fourth Proportional to 361,633.76, 499,084.08 and 200,539.28

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Solution

The fourth proportional to 361,633.76, 499,084.08 and 200,539.28 is: 276,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,633.76 : 499,084.08 = 200,539.28 : x
  2. Step 2: Convert to fraction form
    361,633.76/499,084.08 = 200,539.28/x
  3. Step 3: Cross multiply
    361,633.76x = 499,084.08 × 200,539.28
  4. Step 4: Simplify right side
    361,633.76x = 100,085,962,062.66
  5. Step 5: Solve for x
    x = 100,085,962,062.66/361,633.76
  6. Step 6: Final answer
    x = 276,760.56

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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.