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Finding the Fourth Proportional to 511,414.39, 765,986.61 and 330,919.46

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Solution

The fourth proportional to 511,414.39, 765,986.61 and 330,919.46 is: 495,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,414.39 : 765,986.61 = 330,919.46 : x
  2. Step 2: Convert to fraction form
    511,414.39/765,986.61 = 330,919.46/x
  3. Step 3: Cross multiply
    511,414.39x = 765,986.61 × 330,919.46
  4. Step 4: Simplify right side
    511,414.39x = 253,479,875,348.43
  5. Step 5: Solve for x
    x = 253,479,875,348.43/511,414.39
  6. Step 6: Final answer
    x = 495,644.78

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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.