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Finding the Fourth Proportional to 361,906.11, 499,433.45 and 200,771.60

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Solution

The fourth proportional to 361,906.11, 499,433.45 and 200,771.60 is: 277,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,906.11 : 499,433.45 = 200,771.60 : x
  2. Step 2: Convert to fraction form
    361,906.11/499,433.45 = 200,771.60/x
  3. Step 3: Cross multiply
    361,906.11x = 499,433.45 × 200,771.60
  4. Step 4: Simplify right side
    361,906.11x = 100,272,049,349.00
  5. Step 5: Solve for x
    x = 100,272,049,349.00/361,906.11
  6. Step 6: Final answer
    x = 277,066.47

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1.5x scale

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.