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Finding the Fourth Proportional to 511,615.80, 766,986.12 and 196,299

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Solution

The fourth proportional to 511,615.80, 766,986.12 and 196,299 is: 294,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,615.80 : 766,986.12 = 196,299 : x
  2. Step 2: Convert to fraction form
    511,615.80/766,986.12 = 196,299/x
  3. Step 3: Cross multiply
    511,615.80x = 766,986.12 × 196,299
  4. Step 4: Simplify right side
    511,615.80x = 150,558,608,369.88
  5. Step 5: Solve for x
    x = 150,558,608,369.88/511,615.80
  6. Step 6: Final answer
    x = 294,280.61

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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.