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Finding the Fourth Proportional to 327,240, 451,719.81 and 206,357.22

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Solution

The fourth proportional to 327,240, 451,719.81 and 206,357.22 is: 284,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,240 : 451,719.81 = 206,357.22 : x
  2. Step 2: Convert to fraction form
    327,240/451,719.81 = 206,357.22/x
  3. Step 3: Cross multiply
    327,240x = 451,719.81 × 206,357.22
  4. Step 4: Simplify right side
    327,240x = 93,215,644,210.53
  5. Step 5: Solve for x
    x = 93,215,644,210.53/327,240
  6. Step 6: Final answer
    x = 284,854.06

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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.