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Finding the Fourth Proportional to 301,601.14, 416,191.17 and 165,608.62

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Solution

The fourth proportional to 301,601.14, 416,191.17 and 165,608.62 is: 228,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,601.14 : 416,191.17 = 165,608.62 : x
  2. Step 2: Convert to fraction form
    301,601.14/416,191.17 = 165,608.62/x
  3. Step 3: Cross multiply
    301,601.14x = 416,191.17 × 165,608.62
  4. Step 4: Simplify right side
    301,601.14x = 68,924,845,319.89
  5. Step 5: Solve for x
    x = 68,924,845,319.89/301,601.14
  6. Step 6: Final answer
    x = 228,529.79

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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.