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Finding the Fourth Proportional to 274,538.94, 411,711.93 and 82,356.06

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Solution

The fourth proportional to 274,538.94, 411,711.93 and 82,356.06 is: 123,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,538.94 : 411,711.93 = 82,356.06 : x
  2. Step 2: Convert to fraction form
    274,538.94/411,711.93 = 82,356.06/x
  3. Step 3: Cross multiply
    274,538.94x = 411,711.93 × 82,356.06
  4. Step 4: Simplify right side
    274,538.94x = 33,906,970,968.74
  5. Step 5: Solve for x
    x = 33,906,970,968.74/274,538.94
  6. Step 6: Final answer
    x = 123,505.14

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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.