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Finding the Fourth Proportional to 361,781.63, 499,258.64 and 200,661.35

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Solution

The fourth proportional to 361,781.63, 499,258.64 and 200,661.35 is: 276,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,781.63 : 499,258.64 = 200,661.35 : x
  2. Step 2: Convert to fraction form
    361,781.63/499,258.64 = 200,661.35/x
  3. Step 3: Cross multiply
    361,781.63x = 499,258.64 × 200,661.35
  4. Step 4: Simplify right side
    361,781.63x = 100,181,910,706.92
  5. Step 5: Solve for x
    x = 100,181,910,706.92/361,781.63
  6. Step 6: Final answer
    x = 276,912.66

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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.