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Finding the Fourth Proportional to 414,000.80, 620,943.60 and 133,546.40

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Solution

The fourth proportional to 414,000.80, 620,943.60 and 133,546.40 is: 200,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.80 : 620,943.60 = 133,546.40 : x
  2. Step 2: Convert to fraction form
    414,000.80/620,943.60 = 133,546.40/x
  3. Step 3: Cross multiply
    414,000.80x = 620,943.60 × 133,546.40
  4. Step 4: Simplify right side
    414,000.80x = 82,924,782,383.04
  5. Step 5: Solve for x
    x = 82,924,782,383.04/414,000.80
  6. Step 6: Final answer
    x = 200,301.02

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1.5x scale

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.