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Finding the Fourth Proportional to 288,243.56, 397,942.10 and 191,578.50

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Solution

The fourth proportional to 288,243.56, 397,942.10 and 191,578.50 is: 264,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,243.56 : 397,942.10 = 191,578.50 : x
  2. Step 2: Convert to fraction form
    288,243.56/397,942.10 = 191,578.50/x
  3. Step 3: Cross multiply
    288,243.56x = 397,942.10 × 191,578.50
  4. Step 4: Simplify right side
    288,243.56x = 76,237,150,604.85
  5. Step 5: Solve for x
    x = 76,237,150,604.85/288,243.56
  6. Step 6: Final answer
    x = 264,488.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.