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Finding the Fourth Proportional to 300,879.34, 415,216.77 and 164,910.31

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Solution

The fourth proportional to 300,879.34, 415,216.77 and 164,910.31 is: 227,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,879.34 : 415,216.77 = 164,910.31 : x
  2. Step 2: Convert to fraction form
    300,879.34/415,216.77 = 164,910.31/x
  3. Step 3: Cross multiply
    300,879.34x = 415,216.77 × 164,910.31
  4. Step 4: Simplify right side
    300,879.34x = 68,473,524,601.44
  5. Step 5: Solve for x
    x = 68,473,524,601.44/300,879.34
  6. Step 6: Final answer
    x = 227,578.02

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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.