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Finding the Fourth Proportional to 325,768.23, 449,518.41 and 182,493

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Solution

The fourth proportional to 325,768.23, 449,518.41 and 182,493 is: 251,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,768.23 : 449,518.41 = 182,493 : x
  2. Step 2: Convert to fraction form
    325,768.23/449,518.41 = 182,493/x
  3. Step 3: Cross multiply
    325,768.23x = 449,518.41 × 182,493
  4. Step 4: Simplify right side
    325,768.23x = 82,033,963,196.13
  5. Step 5: Solve for x
    x = 82,033,963,196.13/325,768.23
  6. Step 6: Final answer
    x = 251,816.95

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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.