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Finding the Fourth Proportional to 297,911.80, 447,213.30 and 179,716.60

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Solution

The fourth proportional to 297,911.80, 447,213.30 and 179,716.60 is: 269,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,911.80 : 447,213.30 = 179,716.60 : x
  2. Step 2: Convert to fraction form
    297,911.80/447,213.30 = 179,716.60/x
  3. Step 3: Cross multiply
    297,911.80x = 447,213.30 × 179,716.60
  4. Step 4: Simplify right side
    297,911.80x = 80,371,653,750.78
  5. Step 5: Solve for x
    x = 80,371,653,750.78/297,911.80
  6. Step 6: Final answer
    x = 269,783.38

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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.