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Finding the Fourth Proportional to 414,950.10, 622,425.15 and 204,998.10

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Solution

The fourth proportional to 414,950.10, 622,425.15 and 204,998.10 is: 307,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,950.10 : 622,425.15 = 204,998.10 : x
  2. Step 2: Convert to fraction form
    414,950.10/622,425.15 = 204,998.10/x
  3. Step 3: Cross multiply
    414,950.10x = 622,425.15 × 204,998.10
  4. Step 4: Simplify right side
    414,950.10x = 127,595,973,142.22
  5. Step 5: Solve for x
    x = 127,595,973,142.22/414,950.10
  6. Step 6: Final answer
    x = 307,497.15

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Similar ratio
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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.