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Finding the Fourth Proportional to 300,771.86, 415,049.33 and 171,705.24

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Solution

The fourth proportional to 300,771.86, 415,049.33 and 171,705.24 is: 236,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,771.86 : 415,049.33 = 171,705.24 : x
  2. Step 2: Convert to fraction form
    300,771.86/415,049.33 = 171,705.24/x
  3. Step 3: Cross multiply
    300,771.86x = 415,049.33 × 171,705.24
  4. Step 4: Simplify right side
    300,771.86x = 71,266,143,960.96
  5. Step 5: Solve for x
    x = 71,266,143,960.96/300,771.86
  6. Step 6: Final answer
    x = 236,944.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.