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Finding the Fourth Proportional to 370,535.67, 511,340.99 and 200,769.75

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Solution

The fourth proportional to 370,535.67, 511,340.99 and 200,769.75 is: 277,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,535.67 : 511,340.99 = 200,769.75 : x
  2. Step 2: Convert to fraction form
    370,535.67/511,340.99 = 200,769.75/x
  3. Step 3: Cross multiply
    370,535.67x = 511,340.99 × 200,769.75
  4. Step 4: Simplify right side
    370,535.67x = 102,661,801,723.20
  5. Step 5: Solve for x
    x = 102,661,801,723.20/370,535.67
  6. Step 6: Final answer
    x = 277,063.21

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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.