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Finding the Fourth Proportional to 327,500, 451,950 and 186,188

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Solution

The fourth proportional to 327,500, 451,950 and 186,188 is: 256,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,500 : 451,950 = 186,188 : x
  2. Step 2: Convert to fraction form
    327,500/451,950 = 186,188/x
  3. Step 3: Cross multiply
    327,500x = 451,950 × 186,188
  4. Step 4: Simplify right side
    327,500x = 84,147,666,600
  5. Step 5: Solve for x
    x = 84,147,666,600/327,500
  6. Step 6: Final answer
    x = 256,939.44

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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.