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Finding the Fourth Proportional to 343,092.80, 473,469.44 and 192,189.92

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Solution

The fourth proportional to 343,092.80, 473,469.44 and 192,189.92 is: 265,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,092.80 : 473,469.44 = 192,189.92 : x
  2. Step 2: Convert to fraction form
    343,092.80/473,469.44 = 192,189.92/x
  3. Step 3: Cross multiply
    343,092.80x = 473,469.44 × 192,189.92
  4. Step 4: Simplify right side
    343,092.80x = 90,996,053,796.04
  5. Step 5: Solve for x
    x = 90,996,053,796.04/343,092.80
  6. Step 6: Final answer
    x = 265,222.86

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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.