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Finding the Fourth Proportional to 414,984.12, 622,498.25 and 130,696.90

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Solution

The fourth proportional to 414,984.12, 622,498.25 and 130,696.90 is: 196,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,984.12 : 622,498.25 = 130,696.90 : x
  2. Step 2: Convert to fraction form
    414,984.12/622,498.25 = 130,696.90/x
  3. Step 3: Cross multiply
    414,984.12x = 622,498.25 × 130,696.90
  4. Step 4: Simplify right side
    414,984.12x = 81,358,590,876.94
  5. Step 5: Solve for x
    x = 81,358,590,876.94/414,984.12
  6. Step 6: Final answer
    x = 196,052.30

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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.