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Finding the Fourth Proportional to 825,052, 1,237,578.98 and 226,018.30

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Solution

The fourth proportional to 825,052, 1,237,578.98 and 226,018.30 is: 339,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,052 : 1,237,578.98 = 226,018.30 : x
  2. Step 2: Convert to fraction form
    825,052/1,237,578.98 = 226,018.30/x
  3. Step 3: Cross multiply
    825,052x = 1,237,578.98 × 226,018.30
  4. Step 4: Simplify right side
    825,052x = 279,715,497,175.33
  5. Step 5: Solve for x
    x = 279,715,497,175.33/825,052
  6. Step 6: Final answer
    x = 339,027.72

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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.