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Finding the Fourth Proportional to 414,823.20, 620,679.60 and 377,498.40

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Solution

The fourth proportional to 414,823.20, 620,679.60 and 377,498.40 is: 564,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,823.20 : 620,679.60 = 377,498.40 : x
  2. Step 2: Convert to fraction form
    414,823.20/620,679.60 = 377,498.40/x
  3. Step 3: Cross multiply
    414,823.20x = 620,679.60 × 377,498.40
  4. Step 4: Simplify right side
    414,823.20x = 234,305,555,912.64
  5. Step 5: Solve for x
    x = 234,305,555,912.64/414,823.20
  6. Step 6: Final answer
    x = 564,832.33

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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.