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Finding the Fourth Proportional to 293,339.38, 404,774.87 and 164,259.91

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Solution

The fourth proportional to 293,339.38, 404,774.87 and 164,259.91 is: 226,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,339.38 : 404,774.87 = 164,259.91 : x
  2. Step 2: Convert to fraction form
    293,339.38/404,774.87 = 164,259.91/x
  3. Step 3: Cross multiply
    293,339.38x = 404,774.87 × 164,259.91
  4. Step 4: Simplify right side
    293,339.38x = 66,488,283,716.46
  5. Step 5: Solve for x
    x = 66,488,283,716.46/293,339.38
  6. Step 6: Final answer
    x = 226,659.93

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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.