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Finding the Fourth Proportional to 301,733.97, 416,391.14 and 165,764.97

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Solution

The fourth proportional to 301,733.97, 416,391.14 and 165,764.97 is: 228,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.97 : 416,391.14 = 165,764.97 : x
  2. Step 2: Convert to fraction form
    301,733.97/416,391.14 = 165,764.97/x
  3. Step 3: Cross multiply
    301,733.97x = 416,391.14 × 165,764.97
  4. Step 4: Simplify right side
    301,733.97x = 69,023,064,001.54
  5. Step 5: Solve for x
    x = 69,023,064,001.54/301,733.97
  6. Step 6: Final answer
    x = 228,754.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.