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Finding the Fourth Proportional to 327,407.52, 451,817.78 and 184,167.56

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Solution

The fourth proportional to 327,407.52, 451,817.78 and 184,167.56 is: 254,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,407.52 : 451,817.78 = 184,167.56 : x
  2. Step 2: Convert to fraction form
    327,407.52/451,817.78 = 184,167.56/x
  3. Step 3: Cross multiply
    327,407.52x = 451,817.78 × 184,167.56
  4. Step 4: Simplify right side
    327,407.52x = 83,210,178,107.22
  5. Step 5: Solve for x
    x = 83,210,178,107.22/327,407.52
  6. Step 6: Final answer
    x = 254,148.65

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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.