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Finding the Fourth Proportional to 300,985.92, 415,365.24 and 165,032.28

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Solution

The fourth proportional to 300,985.92, 415,365.24 and 165,032.28 is: 227,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,985.92 : 415,365.24 = 165,032.28 : x
  2. Step 2: Convert to fraction form
    300,985.92/415,365.24 = 165,032.28/x
  3. Step 3: Cross multiply
    300,985.92x = 415,365.24 × 165,032.28
  4. Step 4: Simplify right side
    300,985.92x = 68,548,672,589.95
  5. Step 5: Solve for x
    x = 68,548,672,589.95/300,985.92
  6. Step 6: Final answer
    x = 227,747.11

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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.