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Finding the Fourth Proportional to 267,977, 401,429.64 and 161,301.80

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Solution

The fourth proportional to 267,977, 401,429.64 and 161,301.80 is: 241,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,977 : 401,429.64 = 161,301.80 : x
  2. Step 2: Convert to fraction form
    267,977/401,429.64 = 161,301.80/x
  3. Step 3: Cross multiply
    267,977x = 401,429.64 × 161,301.80
  4. Step 4: Simplify right side
    267,977x = 64,751,323,505.35
  5. Step 5: Solve for x
    x = 64,751,323,505.35/267,977
  6. Step 6: Final answer
    x = 241,630.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.