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Finding the Fourth Proportional to 306,046.41, 422,404.50 and 195,594.40

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Solution

The fourth proportional to 306,046.41, 422,404.50 and 195,594.40 is: 269,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.41 : 422,404.50 = 195,594.40 : x
  2. Step 2: Convert to fraction form
    306,046.41/422,404.50 = 195,594.40/x
  3. Step 3: Cross multiply
    306,046.41x = 422,404.50 × 195,594.40
  4. Step 4: Simplify right side
    306,046.41x = 82,619,954,734.80
  5. Step 5: Solve for x
    x = 82,619,954,734.80/306,046.41
  6. Step 6: Final answer
    x = 269,958.91

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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.