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Finding the Fourth Proportional to 320,202.45, 441,921.62 and 309,687.44

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Solution

The fourth proportional to 320,202.45, 441,921.62 and 309,687.44 is: 427,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,202.45 : 441,921.62 = 309,687.44 : x
  2. Step 2: Convert to fraction form
    320,202.45/441,921.62 = 309,687.44/x
  3. Step 3: Cross multiply
    320,202.45x = 441,921.62 × 309,687.44
  4. Step 4: Simplify right side
    320,202.45x = 136,857,573,743.06
  5. Step 5: Solve for x
    x = 136,857,573,743.06/320,202.45
  6. Step 6: Final answer
    x = 427,409.51

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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.