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Finding the Fourth Proportional to 414,897.60, 622,346.40 and 394,161.60

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Solution

The fourth proportional to 414,897.60, 622,346.40 and 394,161.60 is: 591,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,897.60 : 622,346.40 = 394,161.60 : x
  2. Step 2: Convert to fraction form
    414,897.60/622,346.40 = 394,161.60/x
  3. Step 3: Cross multiply
    414,897.60x = 622,346.40 × 394,161.60
  4. Step 4: Simplify right side
    414,897.60x = 245,305,052,778.24
  5. Step 5: Solve for x
    x = 245,305,052,778.24/414,897.60
  6. Step 6: Final answer
    x = 591,242.40

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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.