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Finding the Fourth Proportional to 293,362.26, 404,806.41 and 164,282.78

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Solution

The fourth proportional to 293,362.26, 404,806.41 and 164,282.78 is: 226,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,362.26 : 404,806.41 = 164,282.78 : x
  2. Step 2: Convert to fraction form
    293,362.26/404,806.41 = 164,282.78/x
  3. Step 3: Cross multiply
    293,362.26x = 404,806.41 × 164,282.78
  4. Step 4: Simplify right side
    293,362.26x = 66,502,723,408.64
  5. Step 5: Solve for x
    x = 66,502,723,408.64/293,362.26
  6. Step 6: Final answer
    x = 226,691.48

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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.