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Finding the Fourth Proportional to 298,625, 412,102.52 and 164,489

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Solution

The fourth proportional to 298,625, 412,102.52 and 164,489 is: 226,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,625 : 412,102.52 = 164,489 : x
  2. Step 2: Convert to fraction form
    298,625/412,102.52 = 164,489/x
  3. Step 3: Cross multiply
    298,625x = 412,102.52 × 164,489
  4. Step 4: Simplify right side
    298,625x = 67,786,331,412.28
  5. Step 5: Solve for x
    x = 67,786,331,412.28/298,625
  6. Step 6: Final answer
    x = 226,994.83

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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.