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Finding the Fourth Proportional to 277,249.32, 382,604.34 and 149,924.88

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Solution

The fourth proportional to 277,249.32, 382,604.34 and 149,924.88 is: 206,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,249.32 : 382,604.34 = 149,924.88 : x
  2. Step 2: Convert to fraction form
    277,249.32/382,604.34 = 149,924.88/x
  3. Step 3: Cross multiply
    277,249.32x = 382,604.34 × 149,924.88
  4. Step 4: Simplify right side
    277,249.32x = 57,361,909,761.98
  5. Step 5: Solve for x
    x = 57,361,909,761.98/277,249.32
  6. Step 6: Final answer
    x = 206,896.48

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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.