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Finding the Fourth Proportional to 327,044, 451,345.98 and 196,226.56

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Solution

The fourth proportional to 327,044, 451,345.98 and 196,226.56 is: 270,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,044 : 451,345.98 = 196,226.56 : x
  2. Step 2: Convert to fraction form
    327,044/451,345.98 = 196,226.56/x
  3. Step 3: Cross multiply
    327,044x = 451,345.98 × 196,226.56
  4. Step 4: Simplify right side
    327,044x = 88,566,069,025.23
  5. Step 5: Solve for x
    x = 88,566,069,025.23/327,044
  6. Step 6: Final answer
    x = 270,807.81

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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.