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Finding the Fourth Proportional to 538,786.44, 806,956.29 and 417,872.75

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Solution

The fourth proportional to 538,786.44, 806,956.29 and 417,872.75 is: 625,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,786.44 : 806,956.29 = 417,872.75 : x
  2. Step 2: Convert to fraction form
    538,786.44/806,956.29 = 417,872.75/x
  3. Step 3: Cross multiply
    538,786.44x = 806,956.29 × 417,872.75
  4. Step 4: Simplify right side
    538,786.44x = 337,205,039,997.32
  5. Step 5: Solve for x
    x = 337,205,039,997.32/538,786.44
  6. Step 6: Final answer
    x = 625,860.29

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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.