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Finding the Fourth Proportional to 511,286.40, 766,353.60 and 245,174.40

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Solution

The fourth proportional to 511,286.40, 766,353.60 and 245,174.40 is: 367,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,286.40 : 766,353.60 = 245,174.40 : x
  2. Step 2: Convert to fraction form
    511,286.40/766,353.60 = 245,174.40/x
  3. Step 3: Cross multiply
    511,286.40x = 766,353.60 × 245,174.40
  4. Step 4: Simplify right side
    511,286.40x = 187,890,284,067.84
  5. Step 5: Solve for x
    x = 187,890,284,067.84/511,286.40
  6. Step 6: Final answer
    x = 367,485.39

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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.