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Finding the Fourth Proportional to 526,251.47, 789,245.84 and 206,468.33

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Solution

The fourth proportional to 526,251.47, 789,245.84 and 206,468.33 is: 309,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,251.47 : 789,245.84 = 206,468.33 : x
  2. Step 2: Convert to fraction form
    526,251.47/789,245.84 = 206,468.33/x
  3. Step 3: Cross multiply
    526,251.47x = 789,245.84 × 206,468.33
  4. Step 4: Simplify right side
    526,251.47x = 162,954,267,114.19
  5. Step 5: Solve for x
    x = 162,954,267,114.19/526,251.47
  6. Step 6: Final answer
    x = 309,650.95

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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.