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Finding the Fourth Proportional to 264,909.80, 397,364.70 and 231,694.74

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Solution

The fourth proportional to 264,909.80, 397,364.70 and 231,694.74 is: 347,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,909.80 : 397,364.70 = 231,694.74 : x
  2. Step 2: Convert to fraction form
    264,909.80/397,364.70 = 231,694.74/x
  3. Step 3: Cross multiply
    264,909.80x = 397,364.70 × 231,694.74
  4. Step 4: Simplify right side
    264,909.80x = 92,067,310,851.68
  5. Step 5: Solve for x
    x = 92,067,310,851.68/264,909.80
  6. Step 6: Final answer
    x = 347,542.11

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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.