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Finding the Fourth Proportional to 274,645.89, 411,636.17 and 116,542.20

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Solution

The fourth proportional to 274,645.89, 411,636.17 and 116,542.20 is: 174,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,645.89 : 411,636.17 = 116,542.20 : x
  2. Step 2: Convert to fraction form
    274,645.89/411,636.17 = 116,542.20/x
  3. Step 3: Cross multiply
    274,645.89x = 411,636.17 × 116,542.20
  4. Step 4: Simplify right side
    274,645.89x = 47,972,984,851.37
  5. Step 5: Solve for x
    x = 47,972,984,851.37/274,645.89
  6. Step 6: Final answer
    x = 174,672.14

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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.