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Finding the Fourth Proportional to 500,713.68, 691,049.24 and 285,804.56

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Solution

The fourth proportional to 500,713.68, 691,049.24 and 285,804.56 is: 394,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,713.68 : 691,049.24 = 285,804.56 : x
  2. Step 2: Convert to fraction form
    500,713.68/691,049.24 = 285,804.56/x
  3. Step 3: Cross multiply
    500,713.68x = 691,049.24 × 285,804.56
  4. Step 4: Simplify right side
    500,713.68x = 197,505,023,976.53
  5. Step 5: Solve for x
    x = 197,505,023,976.53/500,713.68
  6. Step 6: Final answer
    x = 394,447.03

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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.