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Finding the Fourth Proportional to 297,857.80, 446,786.70 and 179,468.20

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Solution

The fourth proportional to 297,857.80, 446,786.70 and 179,468.20 is: 269,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,857.80 : 446,786.70 = 179,468.20 : x
  2. Step 2: Convert to fraction form
    297,857.80/446,786.70 = 179,468.20/x
  3. Step 3: Cross multiply
    297,857.80x = 446,786.70 × 179,468.20
  4. Step 4: Simplify right side
    297,857.80x = 80,184,004,832.94
  5. Step 5: Solve for x
    x = 80,184,004,832.94/297,857.80
  6. Step 6: Final answer
    x = 269,202.30

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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.