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Finding the Fourth Proportional to 361,776.75, 499,251.92 and 200,656.47

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Solution

The fourth proportional to 361,776.75, 499,251.92 and 200,656.47 is: 276,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,776.75 : 499,251.92 = 200,656.47 : x
  2. Step 2: Convert to fraction form
    361,776.75/499,251.92 = 200,656.47/x
  3. Step 3: Cross multiply
    361,776.75x = 499,251.92 × 200,656.47
  4. Step 4: Simplify right side
    361,776.75x = 100,178,126,904.64
  5. Step 5: Solve for x
    x = 100,178,126,904.64/361,776.75
  6. Step 6: Final answer
    x = 276,905.93

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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.