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Finding the Fourth Proportional to 299,435.60, 413,221.21 and 165,299.60

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Solution

The fourth proportional to 299,435.60, 413,221.21 and 165,299.60 is: 228,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,435.60 : 413,221.21 = 165,299.60 : x
  2. Step 2: Convert to fraction form
    299,435.60/413,221.21 = 165,299.60/x
  3. Step 3: Cross multiply
    299,435.60x = 413,221.21 × 165,299.60
  4. Step 4: Simplify right side
    299,435.60x = 68,305,298,245.16
  5. Step 5: Solve for x
    x = 68,305,298,245.16/299,435.60
  6. Step 6: Final answer
    x = 228,113.49

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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.