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Finding the Fourth Proportional to 274,644.89, 411,634.67 and 116,541.20

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Solution

The fourth proportional to 274,644.89, 411,634.67 and 116,541.20 is: 174,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.89 : 411,634.67 = 116,541.20 : x
  2. Step 2: Convert to fraction form
    274,644.89/411,634.67 = 116,541.20/x
  3. Step 3: Cross multiply
    274,644.89x = 411,634.67 × 116,541.20
  4. Step 4: Simplify right side
    274,644.89x = 47,972,399,286.81
  5. Step 5: Solve for x
    x = 47,972,399,286.81/274,644.89
  6. Step 6: Final answer
    x = 174,670.64

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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.