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Finding the Fourth Proportional to 264,809.40, 396,879.30 and 106,949.40

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Solution

The fourth proportional to 264,809.40, 396,879.30 and 106,949.40 is: 160,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,809.40 : 396,879.30 = 106,949.40 : x
  2. Step 2: Convert to fraction form
    264,809.40/396,879.30 = 106,949.40/x
  3. Step 3: Cross multiply
    264,809.40x = 396,879.30 × 106,949.40
  4. Step 4: Simplify right side
    264,809.40x = 42,446,003,007.42
  5. Step 5: Solve for x
    x = 42,446,003,007.42/264,809.40
  6. Step 6: Final answer
    x = 160,288.88

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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.