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Finding the Fourth Proportional to 288,515.75, 398,144.40 and 161,192.30

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Solution

The fourth proportional to 288,515.75, 398,144.40 and 161,192.30 is: 222,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,515.75 : 398,144.40 = 161,192.30 : x
  2. Step 2: Convert to fraction form
    288,515.75/398,144.40 = 161,192.30/x
  3. Step 3: Cross multiply
    288,515.75x = 398,144.40 × 161,192.30
  4. Step 4: Simplify right side
    288,515.75x = 64,177,811,568.12
  5. Step 5: Solve for x
    x = 64,177,811,568.12/288,515.75
  6. Step 6: Final answer
    x = 222,441.28

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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.