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Finding the Fourth Proportional to 551,647.38, 827,471.12 and 177,670.38

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Solution

The fourth proportional to 551,647.38, 827,471.12 and 177,670.38 is: 266,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,647.38 : 827,471.12 = 177,670.38 : x
  2. Step 2: Convert to fraction form
    551,647.38/827,471.12 = 177,670.38/x
  3. Step 3: Cross multiply
    551,647.38x = 827,471.12 × 177,670.38
  4. Step 4: Simplify right side
    551,647.38x = 147,017,108,329.43
  5. Step 5: Solve for x
    x = 147,017,108,329.43/551,647.38
  6. Step 6: Final answer
    x = 266,505.59

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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.