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Finding the Fourth Proportional to 551,644, 827,466.05 and 177,667

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Solution

The fourth proportional to 551,644, 827,466.05 and 177,667 is: 266,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,644 : 827,466.05 = 177,667 : x
  2. Step 2: Convert to fraction form
    551,644/827,466.05 = 177,667/x
  3. Step 3: Cross multiply
    551,644x = 827,466.05 × 177,667
  4. Step 4: Simplify right side
    551,644x = 147,013,410,705.35
  5. Step 5: Solve for x
    x = 147,013,410,705.35/551,644
  6. Step 6: Final answer
    x = 266,500.52

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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.