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Finding the Fourth Proportional to 433,191.83, 649,806.20 and 133,665.78

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Solution

The fourth proportional to 433,191.83, 649,806.20 and 133,665.78 is: 200,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,191.83 : 649,806.20 = 133,665.78 : x
  2. Step 2: Convert to fraction form
    433,191.83/649,806.20 = 133,665.78/x
  3. Step 3: Cross multiply
    433,191.83x = 649,806.20 × 133,665.78
  4. Step 4: Simplify right side
    433,191.83x = 86,856,851,903.51
  5. Step 5: Solve for x
    x = 86,856,851,903.51/433,191.83
  6. Step 6: Final answer
    x = 200,504.37

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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.