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Finding the Fourth Proportional to 301,380.57, 415,905.71 and 165,415.41

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Solution

The fourth proportional to 301,380.57, 415,905.71 and 165,415.41 is: 228,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,380.57 : 415,905.71 = 165,415.41 : x
  2. Step 2: Convert to fraction form
    301,380.57/415,905.71 = 165,415.41/x
  3. Step 3: Cross multiply
    301,380.57x = 415,905.71 × 165,415.41
  4. Step 4: Simplify right side
    301,380.57x = 68,797,212,713.91
  5. Step 5: Solve for x
    x = 68,797,212,713.91/301,380.57
  6. Step 6: Final answer
    x = 228,273.55

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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.