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Finding the Fourth Proportional to 422,506.53, 633,743.39 and 169,711.20

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Solution

The fourth proportional to 422,506.53, 633,743.39 and 169,711.20 is: 254,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,506.53 : 633,743.39 = 169,711.20 : x
  2. Step 2: Convert to fraction form
    422,506.53/633,743.39 = 169,711.20/x
  3. Step 3: Cross multiply
    422,506.53x = 633,743.39 × 169,711.20
  4. Step 4: Simplify right side
    422,506.53x = 107,553,351,633.25
  5. Step 5: Solve for x
    x = 107,553,351,633.25/422,506.53
  6. Step 6: Final answer
    x = 254,560.21

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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.