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Finding the Fourth Proportional to 298,093, 411,369.44 and 162,126.96

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Solution

The fourth proportional to 298,093, 411,369.44 and 162,126.96 is: 223,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,093 : 411,369.44 = 162,126.96 : x
  2. Step 2: Convert to fraction form
    298,093/411,369.44 = 162,126.96/x
  3. Step 3: Cross multiply
    298,093x = 411,369.44 × 162,126.96
  4. Step 4: Simplify right side
    298,093x = 66,694,076,744.10
  5. Step 5: Solve for x
    x = 66,694,076,744.10/298,093
  6. Step 6: Final answer
    x = 223,735.80

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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.