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Finding the Fourth Proportional to 278,548.40, 382,918.66 and 239,644.24

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Solution

The fourth proportional to 278,548.40, 382,918.66 and 239,644.24 is: 329,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,548.40 : 382,918.66 = 239,644.24 : x
  2. Step 2: Convert to fraction form
    278,548.40/382,918.66 = 239,644.24/x
  3. Step 3: Cross multiply
    278,548.40x = 382,918.66 × 239,644.24
  4. Step 4: Simplify right side
    278,548.40x = 91,764,251,257.52
  5. Step 5: Solve for x
    x = 91,764,251,257.52/278,548.40
  6. Step 6: Final answer
    x = 329,437.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.