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Finding the Fourth Proportional to 503,022, 694,128.24 and 296,257.62

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Solution

The fourth proportional to 503,022, 694,128.24 and 296,257.62 is: 408,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,022 : 694,128.24 = 296,257.62 : x
  2. Step 2: Convert to fraction form
    503,022/694,128.24 = 296,257.62/x
  3. Step 3: Cross multiply
    503,022x = 694,128.24 × 296,257.62
  4. Step 4: Simplify right side
    503,022x = 205,640,780,357.19
  5. Step 5: Solve for x
    x = 205,640,780,357.19/503,022
  6. Step 6: Final answer
    x = 408,810.71

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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.