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Finding the Fourth Proportional to 300,699.36, 414,678.78 and 179,821.44

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Solution

The fourth proportional to 300,699.36, 414,678.78 and 179,821.44 is: 247,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,699.36 : 414,678.78 = 179,821.44 : x
  2. Step 2: Convert to fraction form
    300,699.36/414,678.78 = 179,821.44/x
  3. Step 3: Cross multiply
    300,699.36x = 414,678.78 × 179,821.44
  4. Step 4: Simplify right side
    300,699.36x = 74,568,135,357.04
  5. Step 5: Solve for x
    x = 74,568,135,357.04/300,699.36
  6. Step 6: Final answer
    x = 247,982.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.