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Finding the Fourth Proportional to 394,520.23, 544,433.83 and 224,758

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Solution

The fourth proportional to 394,520.23, 544,433.83 and 224,758 is: 310,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,520.23 : 544,433.83 = 224,758 : x
  2. Step 2: Convert to fraction form
    394,520.23/544,433.83 = 224,758/x
  3. Step 3: Cross multiply
    394,520.23x = 544,433.83 × 224,758
  4. Step 4: Simplify right side
    394,520.23x = 122,365,858,763.14
  5. Step 5: Solve for x
    x = 122,365,858,763.14/394,520.23
  6. Step 6: Final answer
    x = 310,163.71

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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.