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Finding the Fourth Proportional to 300,170.88, 414,255.06 and 172,843.74

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Solution

The fourth proportional to 300,170.88, 414,255.06 and 172,843.74 is: 238,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,170.88 : 414,255.06 = 172,843.74 : x
  2. Step 2: Convert to fraction form
    300,170.88/414,255.06 = 172,843.74/x
  3. Step 3: Cross multiply
    300,170.88x = 414,255.06 × 172,843.74
  4. Step 4: Simplify right side
    300,170.88x = 71,601,393,884.32
  5. Step 5: Solve for x
    x = 71,601,393,884.32/300,170.88
  6. Step 6: Final answer
    x = 238,535.44

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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.