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Finding the Fourth Proportional to 686,182.57, 946,821.71 and 431,353.33

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Solution

The fourth proportional to 686,182.57, 946,821.71 and 431,353.33 is: 595,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,182.57 : 946,821.71 = 431,353.33 : x
  2. Step 2: Convert to fraction form
    686,182.57/946,821.71 = 431,353.33/x
  3. Step 3: Cross multiply
    686,182.57x = 946,821.71 × 431,353.33
  4. Step 4: Simplify right side
    686,182.57x = 408,414,690,633.92
  5. Step 5: Solve for x
    x = 408,414,690,633.92/686,182.57
  6. Step 6: Final answer
    x = 595,198.29

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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.