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Finding the Fourth Proportional to 264,197.25, 396,294.48 and 64,518.66

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Solution

The fourth proportional to 264,197.25, 396,294.48 and 64,518.66 is: 96,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,197.25 : 396,294.48 = 64,518.66 : x
  2. Step 2: Convert to fraction form
    264,197.25/396,294.48 = 64,518.66/x
  3. Step 3: Cross multiply
    264,197.25x = 396,294.48 × 64,518.66
  4. Step 4: Simplify right side
    264,197.25x = 25,568,388,815.00
  5. Step 5: Solve for x
    x = 25,568,388,815.00/264,197.25
  6. Step 6: Final answer
    x = 96,777.65

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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.