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Finding the Fourth Proportional to 278,907.84, 418,317.72 and 231,825.36

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Solution

The fourth proportional to 278,907.84, 418,317.72 and 231,825.36 is: 347,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,907.84 : 418,317.72 = 231,825.36 : x
  2. Step 2: Convert to fraction form
    278,907.84/418,317.72 = 231,825.36/x
  3. Step 3: Cross multiply
    278,907.84x = 418,317.72 × 231,825.36
  4. Step 4: Simplify right side
    278,907.84x = 96,976,656,033.38
  5. Step 5: Solve for x
    x = 96,976,656,033.38/278,907.84
  6. Step 6: Final answer
    x = 347,701.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.