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Finding the Fourth Proportional to 511,620.80, 766,993.56 and 196,304

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Solution

The fourth proportional to 511,620.80, 766,993.56 and 196,304 is: 294,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,620.80 : 766,993.56 = 196,304 : x
  2. Step 2: Convert to fraction form
    511,620.80/766,993.56 = 196,304/x
  3. Step 3: Cross multiply
    511,620.80x = 766,993.56 × 196,304
  4. Step 4: Simplify right side
    511,620.80x = 150,563,903,802.24
  5. Step 5: Solve for x
    x = 150,563,903,802.24/511,620.80
  6. Step 6: Final answer
    x = 294,288.08

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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.