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Finding the Fourth Proportional to 327,424.60, 451,576.38 and 193,159

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Solution

The fourth proportional to 327,424.60, 451,576.38 and 193,159 is: 266,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,424.60 : 451,576.38 = 193,159 : x
  2. Step 2: Convert to fraction form
    327,424.60/451,576.38 = 193,159/x
  3. Step 3: Cross multiply
    327,424.60x = 451,576.38 × 193,159
  4. Step 4: Simplify right side
    327,424.60x = 87,226,041,984.42
  5. Step 5: Solve for x
    x = 87,226,041,984.42/327,424.60
  6. Step 6: Final answer
    x = 266,400.39

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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.