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Finding the Fourth Proportional to 327,804.48, 491,791.23 and 178,006.32

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Solution

The fourth proportional to 327,804.48, 491,791.23 and 178,006.32 is: 267,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,804.48 : 491,791.23 = 178,006.32 : x
  2. Step 2: Convert to fraction form
    327,804.48/491,791.23 = 178,006.32/x
  3. Step 3: Cross multiply
    327,804.48x = 491,791.23 × 178,006.32
  4. Step 4: Simplify right side
    327,804.48x = 87,541,947,060.57
  5. Step 5: Solve for x
    x = 87,541,947,060.57/327,804.48
  6. Step 6: Final answer
    x = 267,055.37

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1.5x scale

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.