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Finding the Fourth Proportional to 288,847.89, 398,610.11 and 161,523.79

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Solution

The fourth proportional to 288,847.89, 398,610.11 and 161,523.79 is: 222,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,847.89 : 398,610.11 = 161,523.79 : x
  2. Step 2: Convert to fraction form
    288,847.89/398,610.11 = 161,523.79/x
  3. Step 3: Cross multiply
    288,847.89x = 398,610.11 × 161,523.79
  4. Step 4: Simplify right side
    288,847.89x = 64,385,015,106.80
  5. Step 5: Solve for x
    x = 64,385,015,106.80/288,847.89
  6. Step 6: Final answer
    x = 222,902.84

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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.