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Finding the Fourth Proportional to 299,325.78, 413,059.23 and 178,404.80

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Solution

The fourth proportional to 299,325.78, 413,059.23 and 178,404.80 is: 246,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,325.78 : 413,059.23 = 178,404.80 : x
  2. Step 2: Convert to fraction form
    299,325.78/413,059.23 = 178,404.80/x
  3. Step 3: Cross multiply
    299,325.78x = 413,059.23 × 178,404.80
  4. Step 4: Simplify right side
    299,325.78x = 73,691,747,251.01
  5. Step 5: Solve for x
    x = 73,691,747,251.01/299,325.78
  6. Step 6: Final answer
    x = 246,192.45

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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.