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Finding the Fourth Proportional to 327,523.96, 490,268.94 and 177,391.36

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Solution

The fourth proportional to 327,523.96, 490,268.94 and 177,391.36 is: 265,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,523.96 : 490,268.94 = 177,391.36 : x
  2. Step 2: Convert to fraction form
    327,523.96/490,268.94 = 177,391.36/x
  3. Step 3: Cross multiply
    327,523.96x = 490,268.94 × 177,391.36
  4. Step 4: Simplify right side
    327,523.96x = 86,969,474,032.36
  5. Step 5: Solve for x
    x = 86,969,474,032.36/327,523.96
  6. Step 6: Final answer
    x = 265,536.22

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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.