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Finding the Fourth Proportional to 511,171.88, 705,388.38 and 281,728.44

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Solution

The fourth proportional to 511,171.88, 705,388.38 and 281,728.44 is: 388,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,171.88 : 705,388.38 = 281,728.44 : x
  2. Step 2: Convert to fraction form
    511,171.88/705,388.38 = 281,728.44/x
  3. Step 3: Cross multiply
    511,171.88x = 705,388.38 × 281,728.44
  4. Step 4: Simplify right side
    511,171.88x = 198,727,967,891.53
  5. Step 5: Solve for x
    x = 198,727,967,891.53/511,171.88
  6. Step 6: Final answer
    x = 388,769.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.