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Finding the Fourth Proportional to 503,367.72, 755,182.28 and 187,827

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Solution

The fourth proportional to 503,367.72, 755,182.28 and 187,827 is: 281,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,367.72 : 755,182.28 = 187,827 : x
  2. Step 2: Convert to fraction form
    503,367.72/755,182.28 = 187,827/x
  3. Step 3: Cross multiply
    503,367.72x = 755,182.28 × 187,827
  4. Step 4: Simplify right side
    503,367.72x = 141,843,622,105.56
  5. Step 5: Solve for x
    x = 141,843,622,105.56/503,367.72
  6. Step 6: Final answer
    x = 281,789.27

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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.