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Finding the Fourth Proportional to 311,998.85, 467,711.22 and 169,636.08

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Solution

The fourth proportional to 311,998.85, 467,711.22 and 169,636.08 is: 254,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,998.85 : 467,711.22 = 169,636.08 : x
  2. Step 2: Convert to fraction form
    311,998.85/467,711.22 = 169,636.08/x
  3. Step 3: Cross multiply
    311,998.85x = 467,711.22 × 169,636.08
  4. Step 4: Simplify right side
    311,998.85x = 79,340,697,932.82
  5. Step 5: Solve for x
    x = 79,340,697,932.82/311,998.85
  6. Step 6: Final answer
    x = 254,298.05

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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.