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Finding the Fourth Proportional to 453,640.57, 680,359.37 and 133,724.18

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Solution

The fourth proportional to 453,640.57, 680,359.37 and 133,724.18 is: 200,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,640.57 : 680,359.37 = 133,724.18 : x
  2. Step 2: Convert to fraction form
    453,640.57/680,359.37 = 133,724.18/x
  3. Step 3: Cross multiply
    453,640.57x = 680,359.37 × 133,724.18
  4. Step 4: Simplify right side
    453,640.57x = 90,980,499,890.84
  5. Step 5: Solve for x
    x = 90,980,499,890.84/453,640.57
  6. Step 6: Final answer
    x = 200,556.36

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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.