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Finding the Fourth Proportional to 453,755.48, 680,474.56 and 133,822.49

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Solution

The fourth proportional to 453,755.48, 680,474.56 and 133,822.49 is: 200,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,755.48 : 680,474.56 = 133,822.49 : x
  2. Step 2: Convert to fraction form
    453,755.48/680,474.56 = 133,822.49/x
  3. Step 3: Cross multiply
    453,755.48x = 680,474.56 × 133,822.49
  4. Step 4: Simplify right side
    453,755.48x = 91,062,800,000.85
  5. Step 5: Solve for x
    x = 91,062,800,000.85/453,755.48
  6. Step 6: Final answer
    x = 200,686.94

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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.