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Finding the Fourth Proportional to 327,178.52, 490,767.92 and 102,556.44

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Solution

The fourth proportional to 327,178.52, 490,767.92 and 102,556.44 is: 153,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,178.52 : 490,767.92 = 102,556.44 : x
  2. Step 2: Convert to fraction form
    327,178.52/490,767.92 = 102,556.44/x
  3. Step 3: Cross multiply
    327,178.52x = 490,767.92 × 102,556.44
  4. Step 4: Simplify right side
    327,178.52x = 50,331,410,741.40
  5. Step 5: Solve for x
    x = 50,331,410,741.40/327,178.52
  6. Step 6: Final answer
    x = 153,834.70

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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.