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Finding the Fourth Proportional to 264,874.48, 397,302.82 and 115,114.76

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Solution

The fourth proportional to 264,874.48, 397,302.82 and 115,114.76 is: 172,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,874.48 : 397,302.82 = 115,114.76 : x
  2. Step 2: Convert to fraction form
    264,874.48/397,302.82 = 115,114.76/x
  3. Step 3: Cross multiply
    264,874.48x = 397,302.82 × 115,114.76
  4. Step 4: Simplify right side
    264,874.48x = 45,735,418,771.62
  5. Step 5: Solve for x
    x = 45,735,418,771.62/264,874.48
  6. Step 6: Final answer
    x = 172,668.27

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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.