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Finding the Fourth Proportional to 511,982.64, 768,083.31 and 196,436.81

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Solution

The fourth proportional to 511,982.64, 768,083.31 and 196,436.81 is: 294,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,982.64 : 768,083.31 = 196,436.81 : x
  2. Step 2: Convert to fraction form
    511,982.64/768,083.31 = 196,436.81/x
  3. Step 3: Cross multiply
    511,982.64x = 768,083.31 × 196,436.81
  4. Step 4: Simplify right side
    511,982.64x = 150,879,837,150.85
  5. Step 5: Solve for x
    x = 150,879,837,150.85/511,982.64
  6. Step 6: Final answer
    x = 294,697.17

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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.