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Finding the Fourth Proportional to 264,744.20, 397,286.40 and 146,500.40

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Solution

The fourth proportional to 264,744.20, 397,286.40 and 146,500.40 is: 219,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,744.20 : 397,286.40 = 146,500.40 : x
  2. Step 2: Convert to fraction form
    264,744.20/397,286.40 = 146,500.40/x
  3. Step 3: Cross multiply
    264,744.20x = 397,286.40 × 146,500.40
  4. Step 4: Simplify right side
    264,744.20x = 58,202,616,514.56
  5. Step 5: Solve for x
    x = 58,202,616,514.56/264,744.20
  6. Step 6: Final answer
    x = 219,844.73

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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.