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Finding the Fourth Proportional to 297,020.80, 409,850.94 and 169,704.64

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Solution

The fourth proportional to 297,020.80, 409,850.94 and 169,704.64 is: 234,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,020.80 : 409,850.94 = 169,704.64 : x
  2. Step 2: Convert to fraction form
    297,020.80/409,850.94 = 169,704.64/x
  3. Step 3: Cross multiply
    297,020.80x = 409,850.94 × 169,704.64
  4. Step 4: Simplify right side
    297,020.80x = 69,553,606,226.36
  5. Step 5: Solve for x
    x = 69,553,606,226.36/297,020.80
  6. Step 6: Final answer
    x = 234,170.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.