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Finding the Fourth Proportional to 414,967.60, 622,451.40 and 409,062.70

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Solution

The fourth proportional to 414,967.60, 622,451.40 and 409,062.70 is: 613,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,967.60 : 622,451.40 = 409,062.70 : x
  2. Step 2: Convert to fraction form
    414,967.60/622,451.40 = 409,062.70/x
  3. Step 3: Cross multiply
    414,967.60x = 622,451.40 × 409,062.70
  4. Step 4: Simplify right side
    414,967.60x = 254,621,650,302.78
  5. Step 5: Solve for x
    x = 254,621,650,302.78/414,967.60
  6. Step 6: Final answer
    x = 613,594.05

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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.