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Finding the Fourth Proportional to 293,230.44, 404,615 and 164,162.22

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Solution

The fourth proportional to 293,230.44, 404,615 and 164,162.22 is: 226,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,230.44 : 404,615 = 164,162.22 : x
  2. Step 2: Convert to fraction form
    293,230.44/404,615 = 164,162.22/x
  3. Step 3: Cross multiply
    293,230.44x = 404,615 × 164,162.22
  4. Step 4: Simplify right side
    293,230.44x = 66,422,496,645.30
  5. Step 5: Solve for x
    x = 66,422,496,645.30/293,230.44
  6. Step 6: Final answer
    x = 226,519.79

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1.5x scale

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.