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Finding the Fourth Proportional to 511,813.11, 767,818.08 and 196,245.42

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Solution

The fourth proportional to 511,813.11, 767,818.08 and 196,245.42 is: 294,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.11 : 767,818.08 = 196,245.42 : x
  2. Step 2: Convert to fraction form
    511,813.11/767,818.08 = 196,245.42/x
  3. Step 3: Cross multiply
    511,813.11x = 767,818.08 × 196,245.42
  4. Step 4: Simplify right side
    511,813.11x = 150,680,781,593.19
  5. Step 5: Solve for x
    x = 150,680,781,593.19/511,813.11
  6. Step 6: Final answer
    x = 294,405.87

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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.