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Finding the Fourth Proportional to 300,690.38, 414,941.89 and 171,635.51

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Solution

The fourth proportional to 300,690.38, 414,941.89 and 171,635.51 is: 236,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,690.38 : 414,941.89 = 171,635.51 : x
  2. Step 2: Convert to fraction form
    300,690.38/414,941.89 = 171,635.51/x
  3. Step 3: Cross multiply
    300,690.38x = 414,941.89 × 171,635.51
  4. Step 4: Simplify right side
    300,690.38x = 71,218,762,910.51
  5. Step 5: Solve for x
    x = 71,218,762,910.51/300,690.38
  6. Step 6: Final answer
    x = 236,850.82

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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.