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Finding the Fourth Proportional to 322,603, 445,192.14 and 181,291

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Solution

The fourth proportional to 322,603, 445,192.14 and 181,291 is: 250,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,603 : 445,192.14 = 181,291 : x
  2. Step 2: Convert to fraction form
    322,603/445,192.14 = 181,291/x
  3. Step 3: Cross multiply
    322,603x = 445,192.14 × 181,291
  4. Step 4: Simplify right side
    322,603x = 80,709,328,252.74
  5. Step 5: Solve for x
    x = 80,709,328,252.74/322,603
  6. Step 6: Final answer
    x = 250,181.58

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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.