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Finding the Fourth Proportional to 278,891, 419,853.98 and 254,090.42

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Solution

The fourth proportional to 278,891, 419,853.98 and 254,090.42 is: 382,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,891 : 419,853.98 = 254,090.42 : x
  2. Step 2: Convert to fraction form
    278,891/419,853.98 = 254,090.42/x
  3. Step 3: Cross multiply
    278,891x = 419,853.98 × 254,090.42
  4. Step 4: Simplify right side
    278,891x = 106,680,874,116.87
  5. Step 5: Solve for x
    x = 106,680,874,116.87/278,891
  6. Step 6: Final answer
    x = 382,518.17

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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.