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Finding the Fourth Proportional to 503,266, 694,511.96 and 276,916.36

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Solution

The fourth proportional to 503,266, 694,511.96 and 276,916.36 is: 382,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,266 : 694,511.96 = 276,916.36 : x
  2. Step 2: Convert to fraction form
    503,266/694,511.96 = 276,916.36/x
  3. Step 3: Cross multiply
    503,266x = 694,511.96 × 276,916.36
  4. Step 4: Simplify right side
    503,266x = 192,321,723,939.67
  5. Step 5: Solve for x
    x = 192,321,723,939.67/503,266
  6. Step 6: Final answer
    x = 382,147.26

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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.