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Finding the Fourth Proportional to 511,800.68, 767,799.42 and 196,232.98

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Solution

The fourth proportional to 511,800.68, 767,799.42 and 196,232.98 is: 294,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800.68 : 767,799.42 = 196,232.98 : x
  2. Step 2: Convert to fraction form
    511,800.68/767,799.42 = 196,232.98/x
  3. Step 3: Cross multiply
    511,800.68x = 767,799.42 × 196,232.98
  4. Step 4: Simplify right side
    511,800.68x = 150,667,568,228.87
  5. Step 5: Solve for x
    x = 150,667,568,228.87/511,800.68
  6. Step 6: Final answer
    x = 294,387.20

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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.