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Finding the Fourth Proportional to 303,972.26, 455,958.40 and 82,356.26

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Solution

The fourth proportional to 303,972.26, 455,958.40 and 82,356.26 is: 123,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,972.26 : 455,958.40 = 82,356.26 : x
  2. Step 2: Convert to fraction form
    303,972.26/455,958.40 = 82,356.26/x
  3. Step 3: Cross multiply
    303,972.26x = 455,958.40 × 82,356.26
  4. Step 4: Simplify right side
    303,972.26x = 37,551,028,539.58
  5. Step 5: Solve for x
    x = 37,551,028,539.58/303,972.26
  6. Step 6: Final answer
    x = 123,534.39

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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.