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Finding the Fourth Proportional to 414,891.20, 622,106.40 and 165,291.20

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Solution

The fourth proportional to 414,891.20, 622,106.40 and 165,291.20 is: 247,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,891.20 : 622,106.40 = 165,291.20 : x
  2. Step 2: Convert to fraction form
    414,891.20/622,106.40 = 165,291.20/x
  3. Step 3: Cross multiply
    414,891.20x = 622,106.40 × 165,291.20
  4. Step 4: Simplify right side
    414,891.20x = 102,828,713,383.68
  5. Step 5: Solve for x
    x = 102,828,713,383.68/414,891.20
  6. Step 6: Final answer
    x = 247,845.01

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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.