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Finding the Fourth Proportional to 408,831, 613,738.98 and 295,063.26

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Solution

The fourth proportional to 408,831, 613,738.98 and 295,063.26 is: 442,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,831 : 613,738.98 = 295,063.26 : x
  2. Step 2: Convert to fraction form
    408,831/613,738.98 = 295,063.26/x
  3. Step 3: Cross multiply
    408,831x = 613,738.98 × 295,063.26
  4. Step 4: Simplify right side
    408,831x = 181,091,824,227.88
  5. Step 5: Solve for x
    x = 181,091,824,227.88/408,831
  6. Step 6: Final answer
    x = 442,950.32

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