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Finding the Fourth Proportional to 274,570.56, 411,429.24 and 132,262.56

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Solution

The fourth proportional to 274,570.56, 411,429.24 and 132,262.56 is: 198,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.56 : 411,429.24 = 132,262.56 : x
  2. Step 2: Convert to fraction form
    274,570.56/411,429.24 = 132,262.56/x
  3. Step 3: Cross multiply
    274,570.56x = 411,429.24 × 132,262.56
  4. Step 4: Simplify right side
    274,570.56x = 54,416,684,541.25
  5. Step 5: Solve for x
    x = 54,416,684,541.25/274,570.56
  6. Step 6: Final answer
    x = 198,188.34

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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.