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Finding the Fourth Proportional to 264,736.80, 397,234.80 and 201,535.20

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Solution

The fourth proportional to 264,736.80, 397,234.80 and 201,535.20 is: 302,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,736.80 : 397,234.80 = 201,535.20 : x
  2. Step 2: Convert to fraction form
    264,736.80/397,234.80 = 201,535.20/x
  3. Step 3: Cross multiply
    264,736.80x = 397,234.80 × 201,535.20
  4. Step 4: Simplify right side
    264,736.80x = 80,056,794,864.96
  5. Step 5: Solve for x
    x = 80,056,794,864.96/264,736.80
  6. Step 6: Final answer
    x = 302,401.46

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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.