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Finding the Fourth Proportional to 293,093.98, 404,491.44 and 164,045.38

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Solution

The fourth proportional to 293,093.98, 404,491.44 and 164,045.38 is: 226,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,093.98 : 404,491.44 = 164,045.38 : x
  2. Step 2: Convert to fraction form
    293,093.98/404,491.44 = 164,045.38/x
  3. Step 3: Cross multiply
    293,093.98x = 404,491.44 × 164,045.38
  4. Step 4: Simplify right side
    293,093.98x = 66,354,951,981.55
  5. Step 5: Solve for x
    x = 66,354,951,981.55/293,093.98
  6. Step 6: Final answer
    x = 226,394.80

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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.