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Finding the Fourth Proportional to 543,400.31, 814,838.29 and 227,772.47

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Solution

The fourth proportional to 543,400.31, 814,838.29 and 227,772.47 is: 341,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,400.31 : 814,838.29 = 227,772.47 : x
  2. Step 2: Convert to fraction form
    543,400.31/814,838.29 = 227,772.47/x
  3. Step 3: Cross multiply
    543,400.31x = 814,838.29 × 227,772.47
  4. Step 4: Simplify right side
    543,400.31x = 185,597,729,963.88
  5. Step 5: Solve for x
    x = 185,597,729,963.88/543,400.31
  6. Step 6: Final answer
    x = 341,548.81

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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.