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Finding the Fourth Proportional to 414,715.80, 622,073.70 and 134,434.20

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Solution

The fourth proportional to 414,715.80, 622,073.70 and 134,434.20 is: 201,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,715.80 : 622,073.70 = 134,434.20 : x
  2. Step 2: Convert to fraction form
    414,715.80/622,073.70 = 134,434.20/x
  3. Step 3: Cross multiply
    414,715.80x = 622,073.70 × 134,434.20
  4. Step 4: Simplify right side
    414,715.80x = 83,627,980,200.54
  5. Step 5: Solve for x
    x = 83,627,980,200.54/414,715.80
  6. Step 6: Final answer
    x = 201,651.30

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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.