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Finding the Fourth Proportional to 414,447.44, 621,671.16 and 133,964.69

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Solution

The fourth proportional to 414,447.44, 621,671.16 and 133,964.69 is: 200,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,447.44 : 621,671.16 = 133,964.69 : x
  2. Step 2: Convert to fraction form
    414,447.44/621,671.16 = 133,964.69/x
  3. Step 3: Cross multiply
    414,447.44x = 621,671.16 × 133,964.69
  4. Step 4: Simplify right side
    414,447.44x = 83,281,984,231.34
  5. Step 5: Solve for x
    x = 83,281,984,231.34/414,447.44
  6. Step 6: Final answer
    x = 200,947.04

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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.