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Finding the Fourth Proportional to 298,589, 412,052.82 and 164,453

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Solution

The fourth proportional to 298,589, 412,052.82 and 164,453 is: 226,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,589 : 412,052.82 = 164,453 : x
  2. Step 2: Convert to fraction form
    298,589/412,052.82 = 164,453/x
  3. Step 3: Cross multiply
    298,589x = 412,052.82 × 164,453
  4. Step 4: Simplify right side
    298,589x = 67,763,322,407.46
  5. Step 5: Solve for x
    x = 67,763,322,407.46/298,589
  6. Step 6: Final answer
    x = 226,945.14

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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.