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Finding the Fourth Proportional to 300,446.25, 414,896.87 and 193,202.61

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Solution

The fourth proportional to 300,446.25, 414,896.87 and 193,202.61 is: 266,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,446.25 : 414,896.87 = 193,202.61 : x
  2. Step 2: Convert to fraction form
    300,446.25/414,896.87 = 193,202.61/x
  3. Step 3: Cross multiply
    300,446.25x = 414,896.87 × 193,202.61
  4. Step 4: Simplify right side
    300,446.25x = 80,159,157,198.82
  5. Step 5: Solve for x
    x = 80,159,157,198.82/300,446.25
  6. Step 6: Final answer
    x = 266,800.33

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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.