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Finding the Fourth Proportional to 278,893.50, 419,857.76 and 254,092.92

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Solution

The fourth proportional to 278,893.50, 419,857.76 and 254,092.92 is: 382,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.50 : 419,857.76 = 254,092.92 : x
  2. Step 2: Convert to fraction form
    278,893.50/419,857.76 = 254,092.92/x
  3. Step 3: Cross multiply
    278,893.50x = 419,857.76 × 254,092.92
  4. Step 4: Simplify right side
    278,893.50x = 106,682,882,952.60
  5. Step 5: Solve for x
    x = 106,682,882,952.60/278,893.50
  6. Step 6: Final answer
    x = 382,521.94

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1.5x scale

Why These Related Problems?

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