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Finding the Fourth Proportional to 311,924.20, 467,886.30 and 171,956.20

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Solution

The fourth proportional to 311,924.20, 467,886.30 and 171,956.20 is: 257,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924.20 : 467,886.30 = 171,956.20 : x
  2. Step 2: Convert to fraction form
    311,924.20/467,886.30 = 171,956.20/x
  3. Step 3: Cross multiply
    311,924.20x = 467,886.30 × 171,956.20
  4. Step 4: Simplify right side
    311,924.20x = 80,455,950,180.06
  5. Step 5: Solve for x
    x = 80,455,950,180.06/311,924.20
  6. Step 6: Final answer
    x = 257,934.30

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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.