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Finding the Fourth Proportional to 327,713.68, 491,069.76 and 220,701.94

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Solution

The fourth proportional to 327,713.68, 491,069.76 and 220,701.94 is: 330,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,713.68 : 491,069.76 = 220,701.94 : x
  2. Step 2: Convert to fraction form
    327,713.68/491,069.76 = 220,701.94/x
  3. Step 3: Cross multiply
    327,713.68x = 491,069.76 × 220,701.94
  4. Step 4: Simplify right side
    327,713.68x = 108,380,048,707.33
  5. Step 5: Solve for x
    x = 108,380,048,707.33/327,713.68
  6. Step 6: Final answer
    x = 330,715.67

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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.