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Finding the Fourth Proportional to 299,387.56, 413,144.49 and 178,466.50

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Solution

The fourth proportional to 299,387.56, 413,144.49 and 178,466.50 is: 246,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,387.56 : 413,144.49 = 178,466.50 : x
  2. Step 2: Convert to fraction form
    299,387.56/413,144.49 = 178,466.50/x
  3. Step 3: Cross multiply
    299,387.56x = 413,144.49 × 178,466.50
  4. Step 4: Simplify right side
    299,387.56x = 73,732,451,124.59
  5. Step 5: Solve for x
    x = 73,732,451,124.59/299,387.56
  6. Step 6: Final answer
    x = 246,277.60

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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.