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Finding the Fourth Proportional to 278,922, 419,900.79 and 254,121.42

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Solution

The fourth proportional to 278,922, 419,900.79 and 254,121.42 is: 382,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,922 : 419,900.79 = 254,121.42 : x
  2. Step 2: Convert to fraction form
    278,922/419,900.79 = 254,121.42/x
  3. Step 3: Cross multiply
    278,922x = 419,900.79 × 254,121.42
  4. Step 4: Simplify right side
    278,922x = 106,705,785,013.92
  5. Step 5: Solve for x
    x = 106,705,785,013.92/278,922
  6. Step 6: Final answer
    x = 382,564.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.