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Finding the Fourth Proportional to 597,996.50, 825,305.18 and 339,912.27

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Solution

The fourth proportional to 597,996.50, 825,305.18 and 339,912.27 is: 469,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,996.50 : 825,305.18 = 339,912.27 : x
  2. Step 2: Convert to fraction form
    597,996.50/825,305.18 = 339,912.27/x
  3. Step 3: Cross multiply
    597,996.50x = 825,305.18 × 339,912.27
  4. Step 4: Simplify right side
    597,996.50x = 280,531,355,477.00
  5. Step 5: Solve for x
    x = 280,531,355,477.00/597,996.50
  6. Step 6: Final answer
    x = 469,118.73

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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.