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Finding the Fourth Proportional to 414,905.60, 622,358.40 and 331,961.60

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Solution

The fourth proportional to 414,905.60, 622,358.40 and 331,961.60 is: 497,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,905.60 : 622,358.40 = 331,961.60 : x
  2. Step 2: Convert to fraction form
    414,905.60/622,358.40 = 331,961.60/x
  3. Step 3: Cross multiply
    414,905.60x = 622,358.40 × 331,961.60
  4. Step 4: Simplify right side
    414,905.60x = 206,599,090,237.44
  5. Step 5: Solve for x
    x = 206,599,090,237.44/414,905.60
  6. Step 6: Final answer
    x = 497,942.40

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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.