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Finding the Fourth Proportional to 503,269.43, 694,282.98 and 299,204.57

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Solution

The fourth proportional to 503,269.43, 694,282.98 and 299,204.57 is: 412,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,269.43 : 694,282.98 = 299,204.57 : x
  2. Step 2: Convert to fraction form
    503,269.43/694,282.98 = 299,204.57/x
  3. Step 3: Cross multiply
    503,269.43x = 694,282.98 × 299,204.57
  4. Step 4: Simplify right side
    503,269.43x = 207,732,640,489.22
  5. Step 5: Solve for x
    x = 207,732,640,489.22/503,269.43
  6. Step 6: Final answer
    x = 412,766.26

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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.