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Finding the Fourth Proportional to 414,920.30, 622,380.45 and 134,465.90

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Solution

The fourth proportional to 414,920.30, 622,380.45 and 134,465.90 is: 201,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,920.30 : 622,380.45 = 134,465.90 : x
  2. Step 2: Convert to fraction form
    414,920.30/622,380.45 = 134,465.90/x
  3. Step 3: Cross multiply
    414,920.30x = 622,380.45 × 134,465.90
  4. Step 4: Simplify right side
    414,920.30x = 83,688,947,351.66
  5. Step 5: Solve for x
    x = 83,688,947,351.66/414,920.30
  6. Step 6: Final answer
    x = 201,698.85

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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.