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Finding the Fourth Proportional to 272,229.40, 407,906.70 and 227,614.60

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Solution

The fourth proportional to 272,229.40, 407,906.70 and 227,614.60 is: 341,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,229.40 : 407,906.70 = 227,614.60 : x
  2. Step 2: Convert to fraction form
    272,229.40/407,906.70 = 227,614.60/x
  3. Step 3: Cross multiply
    272,229.40x = 407,906.70 × 227,614.60
  4. Step 4: Simplify right side
    272,229.40x = 92,845,520,357.82
  5. Step 5: Solve for x
    x = 92,845,520,357.82/272,229.40
  6. Step 6: Final answer
    x = 341,056.18

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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.