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Finding the Fourth Proportional to 292,027.40, 403,083.98 and 171,194.84

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Solution

The fourth proportional to 292,027.40, 403,083.98 and 171,194.84 is: 236,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,027.40 : 403,083.98 = 171,194.84 : x
  2. Step 2: Convert to fraction form
    292,027.40/403,083.98 = 171,194.84/x
  3. Step 3: Cross multiply
    292,027.40x = 403,083.98 × 171,194.84
  4. Step 4: Simplify right side
    292,027.40x = 69,005,897,462.66
  5. Step 5: Solve for x
    x = 69,005,897,462.66/292,027.40
  6. Step 6: Final answer
    x = 236,299.39

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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.