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Finding the Fourth Proportional to 327,855.52, 491,239.77 and 114,508.81

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Solution

The fourth proportional to 327,855.52, 491,239.77 and 114,508.81 is: 171,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,855.52 : 491,239.77 = 114,508.81 : x
  2. Step 2: Convert to fraction form
    327,855.52/491,239.77 = 114,508.81/x
  3. Step 3: Cross multiply
    327,855.52x = 491,239.77 × 114,508.81
  4. Step 4: Simplify right side
    327,855.52x = 56,251,281,487.37
  5. Step 5: Solve for x
    x = 56,251,281,487.37/327,855.52
  6. Step 6: Final answer
    x = 171,573.39

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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.