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Finding the Fourth Proportional to 299,540.88, 413,349.48 and 178,818.48

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Solution

The fourth proportional to 299,540.88, 413,349.48 and 178,818.48 is: 246,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,540.88 : 413,349.48 = 178,818.48 : x
  2. Step 2: Convert to fraction form
    299,540.88/413,349.48 = 178,818.48/x
  3. Step 3: Cross multiply
    299,540.88x = 413,349.48 × 178,818.48
  4. Step 4: Simplify right side
    299,540.88x = 73,914,525,722.39
  5. Step 5: Solve for x
    x = 73,914,525,722.39/299,540.88
  6. Step 6: Final answer
    x = 246,759.39

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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.