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Finding the Fourth Proportional to 403,781.70, 557,243.21 and 222,493.41

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Solution

The fourth proportional to 403,781.70, 557,243.21 and 222,493.41 is: 307,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781.70 : 557,243.21 = 222,493.41 : x
  2. Step 2: Convert to fraction form
    403,781.70/557,243.21 = 222,493.41/x
  3. Step 3: Cross multiply
    403,781.70x = 557,243.21 × 222,493.41
  4. Step 4: Simplify right side
    403,781.70x = 123,982,940,981.23
  5. Step 5: Solve for x
    x = 123,982,940,981.23/403,781.70
  6. Step 6: Final answer
    x = 307,054.38

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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.