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Finding the Fourth Proportional to 312,539.54, 431,217.05 and 196,265.54

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Solution

The fourth proportional to 312,539.54, 431,217.05 and 196,265.54 is: 270,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,539.54 : 431,217.05 = 196,265.54 : x
  2. Step 2: Convert to fraction form
    312,539.54/431,217.05 = 196,265.54/x
  3. Step 3: Cross multiply
    312,539.54x = 431,217.05 × 196,265.54
  4. Step 4: Simplify right side
    312,539.54x = 84,633,048,744.16
  5. Step 5: Solve for x
    x = 84,633,048,744.16/312,539.54
  6. Step 6: Final answer
    x = 270,791.50

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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.