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Finding the Fourth Proportional to 264,304.20, 396,499.86 and 106,519.32

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Solution

The fourth proportional to 264,304.20, 396,499.86 and 106,519.32 is: 159,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,304.20 : 396,499.86 = 106,519.32 : x
  2. Step 2: Convert to fraction form
    264,304.20/396,499.86 = 106,519.32/x
  3. Step 3: Cross multiply
    264,304.20x = 396,499.86 × 106,519.32
  4. Step 4: Simplify right side
    264,304.20x = 42,234,895,467.30
  5. Step 5: Solve for x
    x = 42,234,895,467.30/264,304.20
  6. Step 6: Final answer
    x = 159,796.54

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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.