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Finding the Fourth Proportional to 293,540.60, 405,092.61 and 164,488.70

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Solution

The fourth proportional to 293,540.60, 405,092.61 and 164,488.70 is: 226,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,540.60 : 405,092.61 = 164,488.70 : x
  2. Step 2: Convert to fraction form
    293,540.60/405,092.61 = 164,488.70/x
  3. Step 3: Cross multiply
    293,540.60x = 405,092.61 × 164,488.70
  4. Step 4: Simplify right side
    293,540.60x = 66,633,154,773.04
  5. Step 5: Solve for x
    x = 66,633,154,773.04/293,540.60
  6. Step 6: Final answer
    x = 226,998.09

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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.