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Finding the Fourth Proportional to 363,916.26, 502,207.80 and 200,578.56

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Solution

The fourth proportional to 363,916.26, 502,207.80 and 200,578.56 is: 276,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,916.26 : 502,207.80 = 200,578.56 : x
  2. Step 2: Convert to fraction form
    363,916.26/502,207.80 = 200,578.56/x
  3. Step 3: Cross multiply
    363,916.26x = 502,207.80 × 200,578.56
  4. Step 4: Simplify right side
    363,916.26x = 100,732,117,344.77
  5. Step 5: Solve for x
    x = 100,732,117,344.77/363,916.26
  6. Step 6: Final answer
    x = 276,800.27

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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.