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Finding the Fourth Proportional to 493,062.80, 739,083.90 and 267,947.60

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Solution

The fourth proportional to 493,062.80, 739,083.90 and 267,947.60 is: 401,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,062.80 : 739,083.90 = 267,947.60 : x
  2. Step 2: Convert to fraction form
    493,062.80/739,083.90 = 267,947.60/x
  3. Step 3: Cross multiply
    493,062.80x = 739,083.90 × 267,947.60
  4. Step 4: Simplify right side
    493,062.80x = 198,035,757,203.64
  5. Step 5: Solve for x
    x = 198,035,757,203.64/493,062.80
  6. Step 6: Final answer
    x = 401,644.09

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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.