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Finding the Fourth Proportional to 299,222.86, 412,871.05 and 178,375.39

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Solution

The fourth proportional to 299,222.86, 412,871.05 and 178,375.39 is: 246,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,222.86 : 412,871.05 = 178,375.39 : x
  2. Step 2: Convert to fraction form
    299,222.86/412,871.05 = 178,375.39/x
  3. Step 3: Cross multiply
    299,222.86x = 412,871.05 × 178,375.39
  4. Step 4: Simplify right side
    299,222.86x = 73,646,034,413.77
  5. Step 5: Solve for x
    x = 73,646,034,413.77/299,222.86
  6. Step 6: Final answer
    x = 246,124.36

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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.