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Finding the Fourth Proportional to 800,500.50, 1,201,222.20 and 295,416.90

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Solution

The fourth proportional to 800,500.50, 1,201,222.20 and 295,416.90 is: 443,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,500.50 : 1,201,222.20 = 295,416.90 : x
  2. Step 2: Convert to fraction form
    800,500.50/1,201,222.20 = 295,416.90/x
  3. Step 3: Cross multiply
    800,500.50x = 1,201,222.20 × 295,416.90
  4. Step 4: Simplify right side
    800,500.50x = 354,861,338,535.18
  5. Step 5: Solve for x
    x = 354,861,338,535.18/800,500.50
  6. Step 6: Final answer
    x = 443,299.33

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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.