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Finding the Fourth Proportional to 276,844.40, 415,266.60 and 206,860.40

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Solution

The fourth proportional to 276,844.40, 415,266.60 and 206,860.40 is: 310,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,844.40 : 415,266.60 = 206,860.40 : x
  2. Step 2: Convert to fraction form
    276,844.40/415,266.60 = 206,860.40/x
  3. Step 3: Cross multiply
    276,844.40x = 415,266.60 × 206,860.40
  4. Step 4: Simplify right side
    276,844.40x = 85,902,214,982.64
  5. Step 5: Solve for x
    x = 85,902,214,982.64/276,844.40
  6. Step 6: Final answer
    x = 310,290.60

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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.