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Finding the Fourth Proportional to 301,326.95, 415,843.13 and 165,365.77

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Solution

The fourth proportional to 301,326.95, 415,843.13 and 165,365.77 is: 228,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,326.95 : 415,843.13 = 165,365.77 : x
  2. Step 2: Convert to fraction form
    301,326.95/415,843.13 = 165,365.77/x
  3. Step 3: Cross multiply
    301,326.95x = 415,843.13 × 165,365.77
  4. Step 4: Simplify right side
    301,326.95x = 68,766,221,648.33
  5. Step 5: Solve for x
    x = 68,766,221,648.33/301,326.95
  6. Step 6: Final answer
    x = 228,211.32

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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.