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Finding the Fourth Proportional to 264,848.70, 397,273.05 and 115,257.90

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Solution

The fourth proportional to 264,848.70, 397,273.05 and 115,257.90 is: 172,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848.70 : 397,273.05 = 115,257.90 : x
  2. Step 2: Convert to fraction form
    264,848.70/397,273.05 = 115,257.90/x
  3. Step 3: Cross multiply
    264,848.70x = 397,273.05 × 115,257.90
  4. Step 4: Simplify right side
    264,848.70x = 45,788,857,469.60
  5. Step 5: Solve for x
    x = 45,788,857,469.60/264,848.70
  6. Step 6: Final answer
    x = 172,886.85

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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.