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Finding the Fourth Proportional to 422,255.80, 633,491.70 and 297,839.80

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Solution

The fourth proportional to 422,255.80, 633,491.70 and 297,839.80 is: 446,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,255.80 : 633,491.70 = 297,839.80 : x
  2. Step 2: Convert to fraction form
    422,255.80/633,491.70 = 297,839.80/x
  3. Step 3: Cross multiply
    422,255.80x = 633,491.70 × 297,839.80
  4. Step 4: Simplify right side
    422,255.80x = 188,679,041,229.66
  5. Step 5: Solve for x
    x = 188,679,041,229.66/422,255.80
  6. Step 6: Final answer
    x = 446,835.88

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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.