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Finding the Fourth Proportional to 397,369.92, 548,353.79 and 225,299.46

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Solution

The fourth proportional to 397,369.92, 548,353.79 and 225,299.46 is: 310,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,369.92 : 548,353.79 = 225,299.46 : x
  2. Step 2: Convert to fraction form
    397,369.92/548,353.79 = 225,299.46/x
  3. Step 3: Cross multiply
    397,369.92x = 548,353.79 × 225,299.46
  4. Step 4: Simplify right side
    397,369.92x = 123,543,814,550.66
  5. Step 5: Solve for x
    x = 123,543,814,550.66/397,369.92
  6. Step 6: Final answer
    x = 310,903.79

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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.