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Finding the Fourth Proportional to 361,864.56, 499,432.84 and 200,771.44

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Solution

The fourth proportional to 361,864.56, 499,432.84 and 200,771.44 is: 277,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,864.56 : 499,432.84 = 200,771.44 : x
  2. Step 2: Convert to fraction form
    361,864.56/499,432.84 = 200,771.44/x
  3. Step 3: Cross multiply
    361,864.56x = 499,432.84 × 200,771.44
  4. Step 4: Simplify right side
    361,864.56x = 100,271,850,470.09
  5. Step 5: Solve for x
    x = 100,271,850,470.09/361,864.56
  6. Step 6: Final answer
    x = 277,097.74

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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.