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Finding the Fourth Proportional to 322,824, 445,476.06 and 179,578.92

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Solution

The fourth proportional to 322,824, 445,476.06 and 179,578.92 is: 247,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824 : 445,476.06 = 179,578.92 : x
  2. Step 2: Convert to fraction form
    322,824/445,476.06 = 179,578.92/x
  3. Step 3: Cross multiply
    322,824x = 445,476.06 × 179,578.92
  4. Step 4: Simplify right side
    322,824x = 79,998,109,740.66
  5. Step 5: Solve for x
    x = 79,998,109,740.66/322,824
  6. Step 6: Final answer
    x = 247,807.19

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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.