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Finding the Fourth Proportional to 272,546.69, 407,820.20 and 227,456.65

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Solution

The fourth proportional to 272,546.69, 407,820.20 and 227,456.65 is: 340,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,546.69 : 407,820.20 = 227,456.65 : x
  2. Step 2: Convert to fraction form
    272,546.69/407,820.20 = 227,456.65/x
  3. Step 3: Cross multiply
    272,546.69x = 407,820.20 × 227,456.65
  4. Step 4: Simplify right side
    272,546.69x = 92,761,414,337.50
  5. Step 5: Solve for x
    x = 92,761,414,337.50/272,546.69
  6. Step 6: Final answer
    x = 340,350.54

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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.