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Finding the Fourth Proportional to 511,813.68, 767,818.92 and 196,245.96

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Solution

The fourth proportional to 511,813.68, 767,818.92 and 196,245.96 is: 294,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.68 : 767,818.92 = 196,245.96 : x
  2. Step 2: Convert to fraction form
    511,813.68/767,818.92 = 196,245.96/x
  3. Step 3: Cross multiply
    511,813.68x = 767,818.92 × 196,245.96
  4. Step 4: Simplify right side
    511,813.68x = 150,681,361,061.56
  5. Step 5: Solve for x
    x = 150,681,361,061.56/511,813.68
  6. Step 6: Final answer
    x = 294,406.67

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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.