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Finding the Fourth Proportional to 299,223.86, 412,872.43 and 178,376.39

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Solution

The fourth proportional to 299,223.86, 412,872.43 and 178,376.39 is: 246,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,223.86 : 412,872.43 = 178,376.39 : x
  2. Step 2: Convert to fraction form
    299,223.86/412,872.43 = 178,376.39/x
  3. Step 3: Cross multiply
    299,223.86x = 412,872.43 × 178,376.39
  4. Step 4: Simplify right side
    299,223.86x = 73,646,693,593.93
  5. Step 5: Solve for x
    x = 73,646,693,593.93/299,223.86
  6. Step 6: Final answer
    x = 246,125.74

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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.