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Finding the Fourth Proportional to 500,687.68, 691,013.28 and 285,778.48

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Solution

The fourth proportional to 500,687.68, 691,013.28 and 285,778.48 is: 394,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,687.68 : 691,013.28 = 285,778.48 : x
  2. Step 2: Convert to fraction form
    500,687.68/691,013.28 = 285,778.48/x
  3. Step 3: Cross multiply
    500,687.68x = 691,013.28 × 285,778.48
  4. Step 4: Simplify right side
    500,687.68x = 197,476,724,818.21
  5. Step 5: Solve for x
    x = 197,476,724,818.21/500,687.68
  6. Step 6: Final answer
    x = 394,410.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.