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Finding the Fourth Proportional to 343,902.41, 515,859.78 and 119,270.78

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Solution

The fourth proportional to 343,902.41, 515,859.78 and 119,270.78 is: 178,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,902.41 : 515,859.78 = 119,270.78 : x
  2. Step 2: Convert to fraction form
    343,902.41/515,859.78 = 119,270.78/x
  3. Step 3: Cross multiply
    343,902.41x = 515,859.78 × 119,270.78
  4. Step 4: Simplify right side
    343,902.41x = 61,526,998,331.23
  5. Step 5: Solve for x
    x = 61,526,998,331.23/343,902.41
  6. Step 6: Final answer
    x = 178,908.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.