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Finding the Fourth Proportional to 327,274.39, 491,053.74 and 177,620.41

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Solution

The fourth proportional to 327,274.39, 491,053.74 and 177,620.41 is: 266,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,274.39 : 491,053.74 = 177,620.41 : x
  2. Step 2: Convert to fraction form
    327,274.39/491,053.74 = 177,620.41/x
  3. Step 3: Cross multiply
    327,274.39x = 491,053.74 × 177,620.41
  4. Step 4: Simplify right side
    327,274.39x = 87,221,166,630.83
  5. Step 5: Solve for x
    x = 87,221,166,630.83/327,274.39
  6. Step 6: Final answer
    x = 266,507.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.