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Finding the Fourth Proportional to 206,856.60, 310,284.90 and 197,233.80

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Solution

The fourth proportional to 206,856.60, 310,284.90 and 197,233.80 is: 295,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.60 : 310,284.90 = 197,233.80 : x
  2. Step 2: Convert to fraction form
    206,856.60/310,284.90 = 197,233.80/x
  3. Step 3: Cross multiply
    206,856.60x = 310,284.90 × 197,233.80
  4. Step 4: Simplify right side
    206,856.60x = 61,198,669,909.62
  5. Step 5: Solve for x
    x = 61,198,669,909.62/206,856.60
  6. Step 6: Final answer
    x = 295,850.70

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1.5x scale

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.