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Finding the Fourth Proportional to 598,471.95, 825,711.39 and 394,449.56

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Solution

The fourth proportional to 598,471.95, 825,711.39 and 394,449.56 is: 544,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,471.95 : 825,711.39 = 394,449.56 : x
  2. Step 2: Convert to fraction form
    598,471.95/825,711.39 = 394,449.56/x
  3. Step 3: Cross multiply
    598,471.95x = 825,711.39 × 394,449.56
  4. Step 4: Simplify right side
    598,471.95x = 325,701,490,343.93
  5. Step 5: Solve for x
    x = 325,701,490,343.93/598,471.95
  6. Step 6: Final answer
    x = 544,221.81

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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.