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Finding the Fourth Proportional to 289,793.20, 433,768.20 and 206,849.20

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Solution

The fourth proportional to 289,793.20, 433,768.20 and 206,849.20 is: 309,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.20 : 433,768.20 = 206,849.20 : x
  2. Step 2: Convert to fraction form
    289,793.20/433,768.20 = 206,849.20/x
  3. Step 3: Cross multiply
    289,793.20x = 433,768.20 × 206,849.20
  4. Step 4: Simplify right side
    289,793.20x = 89,724,605,155.44
  5. Step 5: Solve for x
    x = 89,724,605,155.44/289,793.20
  6. Step 6: Final answer
    x = 309,615.98

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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.