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Finding the Fourth Proportional to 511,202.56, 705,456.36 and 278,629.24

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Solution

The fourth proportional to 511,202.56, 705,456.36 and 278,629.24 is: 384,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,202.56 : 705,456.36 = 278,629.24 : x
  2. Step 2: Convert to fraction form
    511,202.56/705,456.36 = 278,629.24/x
  3. Step 3: Cross multiply
    511,202.56x = 705,456.36 × 278,629.24
  4. Step 4: Simplify right side
    511,202.56x = 196,560,769,439.97
  5. Step 5: Solve for x
    x = 196,560,769,439.97/511,202.56
  6. Step 6: Final answer
    x = 384,506.62

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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.