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Finding the Fourth Proportional to 305,083.85, 457,630.58 and 115,493.33

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Solution

The fourth proportional to 305,083.85, 457,630.58 and 115,493.33 is: 173,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,083.85 : 457,630.58 = 115,493.33 : x
  2. Step 2: Convert to fraction form
    305,083.85/457,630.58 = 115,493.33/x
  3. Step 3: Cross multiply
    305,083.85x = 457,630.58 × 115,493.33
  4. Step 4: Simplify right side
    305,083.85x = 52,853,279,594.03
  5. Step 5: Solve for x
    x = 52,853,279,594.03/305,083.85
  6. Step 6: Final answer
    x = 173,241.81

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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.