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Finding the Fourth Proportional to 303,984.65, 419,500.46 and 166,163.76

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Solution

The fourth proportional to 303,984.65, 419,500.46 and 166,163.76 is: 229,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,984.65 : 419,500.46 = 166,163.76 : x
  2. Step 2: Convert to fraction form
    303,984.65/419,500.46 = 166,163.76/x
  3. Step 3: Cross multiply
    303,984.65x = 419,500.46 × 166,163.76
  4. Step 4: Simplify right side
    303,984.65x = 69,705,773,755.33
  5. Step 5: Solve for x
    x = 69,705,773,755.33/303,984.65
  6. Step 6: Final answer
    x = 229,306.89

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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.