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Finding the Fourth Proportional to 369,138.44, 509,418.96 and 205,805

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Solution

The fourth proportional to 369,138.44, 509,418.96 and 205,805 is: 284,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,138.44 : 509,418.96 = 205,805 : x
  2. Step 2: Convert to fraction form
    369,138.44/509,418.96 = 205,805/x
  3. Step 3: Cross multiply
    369,138.44x = 509,418.96 × 205,805
  4. Step 4: Simplify right side
    369,138.44x = 104,840,969,062.80
  5. Step 5: Solve for x
    x = 104,840,969,062.80/369,138.44
  6. Step 6: Final answer
    x = 284,015.31

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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.