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Finding the Fourth Proportional to 306,094.44, 422,393.22 and 171,958.44

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Solution

The fourth proportional to 306,094.44, 422,393.22 and 171,958.44 is: 237,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,094.44 : 422,393.22 = 171,958.44 : x
  2. Step 2: Convert to fraction form
    306,094.44/422,393.22 = 171,958.44/x
  3. Step 3: Cross multiply
    306,094.44x = 422,393.22 × 171,958.44
  4. Step 4: Simplify right side
    306,094.44x = 72,634,079,177.78
  5. Step 5: Solve for x
    x = 72,634,079,177.78/306,094.44
  6. Step 6: Final answer
    x = 237,293.04

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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.