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Finding the Fourth Proportional to 275,450.14, 413,349.96 and 117,679.78

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Solution

The fourth proportional to 275,450.14, 413,349.96 and 117,679.78 is: 176,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,450.14 : 413,349.96 = 117,679.78 : x
  2. Step 2: Convert to fraction form
    275,450.14/413,349.96 = 117,679.78/x
  3. Step 3: Cross multiply
    275,450.14x = 413,349.96 × 117,679.78
  4. Step 4: Simplify right side
    275,450.14x = 48,642,932,355.81
  5. Step 5: Solve for x
    x = 48,642,932,355.81/275,450.14
  6. Step 6: Final answer
    x = 176,594.33

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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.