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Finding the Fourth Proportional to 299,085.52, 412,723.45 and 178,224.11

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Solution

The fourth proportional to 299,085.52, 412,723.45 and 178,224.11 is: 245,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.52 : 412,723.45 = 178,224.11 : x
  2. Step 2: Convert to fraction form
    299,085.52/412,723.45 = 178,224.11/x
  3. Step 3: Cross multiply
    299,085.52x = 412,723.45 × 178,224.11
  4. Step 4: Simplify right side
    299,085.52x = 73,557,270,806.97
  5. Step 5: Solve for x
    x = 73,557,270,806.97/299,085.52
  6. Step 6: Final answer
    x = 245,940.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.