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Finding the Fourth Proportional to 327,854.52, 491,238.27 and 114,507.81

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Solution

The fourth proportional to 327,854.52, 491,238.27 and 114,507.81 is: 171,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,854.52 : 491,238.27 = 114,507.81 : x
  2. Step 2: Convert to fraction form
    327,854.52/491,238.27 = 114,507.81/x
  3. Step 3: Cross multiply
    327,854.52x = 491,238.27 × 114,507.81
  4. Step 4: Simplify right side
    327,854.52x = 56,250,618,485.89
  5. Step 5: Solve for x
    x = 56,250,618,485.89/327,854.52
  6. Step 6: Final answer
    x = 171,571.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.