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Finding the Fourth Proportional to 543,397.06, 814,833.42 and 227,769.22

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Solution

The fourth proportional to 543,397.06, 814,833.42 and 227,769.22 is: 341,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,397.06 : 814,833.42 = 227,769.22 : x
  2. Step 2: Convert to fraction form
    543,397.06/814,833.42 = 227,769.22/x
  3. Step 3: Cross multiply
    543,397.06x = 814,833.42 × 227,769.22
  4. Step 4: Simplify right side
    543,397.06x = 185,593,972,503.33
  5. Step 5: Solve for x
    x = 185,593,972,503.33/543,397.06
  6. Step 6: Final answer
    x = 341,543.94

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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.