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Finding the Fourth Proportional to 465,194.88, 641,967.12 and 261,217.44

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Solution

The fourth proportional to 465,194.88, 641,967.12 and 261,217.44 is: 360,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,194.88 : 641,967.12 = 261,217.44 : x
  2. Step 2: Convert to fraction form
    465,194.88/641,967.12 = 261,217.44/x
  3. Step 3: Cross multiply
    465,194.88x = 641,967.12 × 261,217.44
  4. Step 4: Simplify right side
    465,194.88x = 167,693,007,650.57
  5. Step 5: Solve for x
    x = 167,693,007,650.57/465,194.88
  6. Step 6: Final answer
    x = 360,479.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.