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Finding the Fourth Proportional to 433,204.92, 649,894 and 133,674.24

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Solution

The fourth proportional to 433,204.92, 649,894 and 133,674.24 is: 200,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,204.92 : 649,894 = 133,674.24 : x
  2. Step 2: Convert to fraction form
    433,204.92/649,894 = 133,674.24/x
  3. Step 3: Cross multiply
    433,204.92x = 649,894 × 133,674.24
  4. Step 4: Simplify right side
    433,204.92x = 86,874,086,530.56
  5. Step 5: Solve for x
    x = 86,874,086,530.56/433,204.92
  6. Step 6: Final answer
    x = 200,538.09

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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.