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Finding the Fourth Proportional to 453,711.13, 680,464.62 and 133,794.34

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Solution

The fourth proportional to 453,711.13, 680,464.62 and 133,794.34 is: 200,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,711.13 : 680,464.62 = 133,794.34 : x
  2. Step 2: Convert to fraction form
    453,711.13/680,464.62 = 133,794.34/x
  3. Step 3: Cross multiply
    453,711.13x = 680,464.62 × 133,794.34
  4. Step 4: Simplify right side
    453,711.13x = 91,042,313,025.09
  5. Step 5: Solve for x
    x = 91,042,313,025.09/453,711.13
  6. Step 6: Final answer
    x = 200,661.41

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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.