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Finding the Fourth Proportional to 543,076.83, 814,621.22 and 164,000.78

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Solution

The fourth proportional to 543,076.83, 814,621.22 and 164,000.78 is: 246,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,076.83 : 814,621.22 = 164,000.78 : x
  2. Step 2: Convert to fraction form
    543,076.83/814,621.22 = 164,000.78/x
  3. Step 3: Cross multiply
    543,076.83x = 814,621.22 × 164,000.78
  4. Step 4: Simplify right side
    543,076.83x = 133,598,515,484.55
  5. Step 5: Solve for x
    x = 133,598,515,484.55/543,076.83
  6. Step 6: Final answer
    x = 246,002.97

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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.