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Finding the Fourth Proportional to 300,427.38, 414,694.08 and 185,793.75

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Solution

The fourth proportional to 300,427.38, 414,694.08 and 185,793.75 is: 256,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,427.38 : 414,694.08 = 185,793.75 : x
  2. Step 2: Convert to fraction form
    300,427.38/414,694.08 = 185,793.75/x
  3. Step 3: Cross multiply
    300,427.38x = 414,694.08 × 185,793.75
  4. Step 4: Simplify right side
    300,427.38x = 77,047,568,226
  5. Step 5: Solve for x
    x = 77,047,568,226/300,427.38
  6. Step 6: Final answer
    x = 256,459.87

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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.