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Finding the Fourth Proportional to 311,837.88, 467,549.46 and 171,662.52

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Solution

The fourth proportional to 311,837.88, 467,549.46 and 171,662.52 is: 257,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,837.88 : 467,549.46 = 171,662.52 : x
  2. Step 2: Convert to fraction form
    311,837.88/467,549.46 = 171,662.52/x
  3. Step 3: Cross multiply
    311,837.88x = 467,549.46 × 171,662.52
  4. Step 4: Simplify right side
    311,837.88x = 80,260,718,528.24
  5. Step 5: Solve for x
    x = 80,260,718,528.24/311,837.88
  6. Step 6: Final answer
    x = 257,379.63

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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.