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Finding the Fourth Proportional to 297,242.78, 445,878.75 and 119,725.82

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Solution

The fourth proportional to 297,242.78, 445,878.75 and 119,725.82 is: 179,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,242.78 : 445,878.75 = 119,725.82 : x
  2. Step 2: Convert to fraction form
    297,242.78/445,878.75 = 119,725.82/x
  3. Step 3: Cross multiply
    297,242.78x = 445,878.75 × 119,725.82
  4. Step 4: Simplify right side
    297,242.78x = 53,383,198,964.33
  5. Step 5: Solve for x
    x = 53,383,198,964.33/297,242.78
  6. Step 6: Final answer
    x = 179,594.60

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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.