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Finding the Fourth Proportional to 264,454.30, 396,739.77 and 86,954.14

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Solution

The fourth proportional to 264,454.30, 396,739.77 and 86,954.14 is: 130,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,454.30 : 396,739.77 = 86,954.14 : x
  2. Step 2: Convert to fraction form
    264,454.30/396,739.77 = 86,954.14/x
  3. Step 3: Cross multiply
    264,454.30x = 396,739.77 × 86,954.14
  4. Step 4: Simplify right side
    264,454.30x = 34,498,165,504.15
  5. Step 5: Solve for x
    x = 34,498,165,504.15/264,454.30
  6. Step 6: Final answer
    x = 130,450.39

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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.