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Finding the Fourth Proportional to 305,540.84, 458,446.62 and 118,566.44

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Solution

The fourth proportional to 305,540.84, 458,446.62 and 118,566.44 is: 177,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,540.84 : 458,446.62 = 118,566.44 : x
  2. Step 2: Convert to fraction form
    305,540.84/458,446.62 = 118,566.44/x
  3. Step 3: Cross multiply
    305,540.84x = 458,446.62 × 118,566.44
  4. Step 4: Simplify right side
    305,540.84x = 54,356,383,663.43
  5. Step 5: Solve for x
    x = 54,356,383,663.43/305,540.84
  6. Step 6: Final answer
    x = 177,902.19

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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.