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Finding the Fourth Proportional to 300,927, 415,279.26 and 166,791

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Solution

The fourth proportional to 300,927, 415,279.26 and 166,791 is: 230,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,927 : 415,279.26 = 166,791 : x
  2. Step 2: Convert to fraction form
    300,927/415,279.26 = 166,791/x
  3. Step 3: Cross multiply
    300,927x = 415,279.26 × 166,791
  4. Step 4: Simplify right side
    300,927x = 69,264,843,054.66
  5. Step 5: Solve for x
    x = 69,264,843,054.66/300,927
  6. Step 6: Final answer
    x = 230,171.58

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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.