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Finding the Fourth Proportional to 327,961.20, 492,028.20 and 117,577.20

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Solution

The fourth proportional to 327,961.20, 492,028.20 and 117,577.20 is: 176,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,961.20 : 492,028.20 = 117,577.20 : x
  2. Step 2: Convert to fraction form
    327,961.20/492,028.20 = 117,577.20/x
  3. Step 3: Cross multiply
    327,961.20x = 492,028.20 × 117,577.20
  4. Step 4: Simplify right side
    327,961.20x = 57,851,298,077.04
  5. Step 5: Solve for x
    x = 57,851,298,077.04/327,961.20
  6. Step 6: Final answer
    x = 176,396.78

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Why These Related Problems?

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