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Finding the Fourth Proportional to 292,844.61, 404,092.26 and 165,519.90

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Solution

The fourth proportional to 292,844.61, 404,092.26 and 165,519.90 is: 228,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,844.61 : 404,092.26 = 165,519.90 : x
  2. Step 2: Convert to fraction form
    292,844.61/404,092.26 = 165,519.90/x
  3. Step 3: Cross multiply
    292,844.61x = 404,092.26 × 165,519.90
  4. Step 4: Simplify right side
    292,844.61x = 66,885,310,465.97
  5. Step 5: Solve for x
    x = 66,885,310,465.97/292,844.61
  6. Step 6: Final answer
    x = 228,398.64

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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.