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Finding the Fourth Proportional to 327,441.32, 491,243.70 and 114,212.30

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Solution

The fourth proportional to 327,441.32, 491,243.70 and 114,212.30 is: 171,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,441.32 : 491,243.70 = 114,212.30 : x
  2. Step 2: Convert to fraction form
    327,441.32/491,243.70 = 114,212.30/x
  3. Step 3: Cross multiply
    327,441.32x = 491,243.70 × 114,212.30
  4. Step 4: Simplify right side
    327,441.32x = 56,106,073,572.83
  5. Step 5: Solve for x
    x = 56,106,073,572.83/327,441.32
  6. Step 6: Final answer
    x = 171,346.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.