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Finding the Fourth Proportional to 414,942.40, 622,267.80 and 190,410.40

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Solution

The fourth proportional to 414,942.40, 622,267.80 and 190,410.40 is: 285,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,942.40 : 622,267.80 = 190,410.40 : x
  2. Step 2: Convert to fraction form
    414,942.40/622,267.80 = 190,410.40/x
  3. Step 3: Cross multiply
    414,942.40x = 622,267.80 × 190,410.40
  4. Step 4: Simplify right side
    414,942.40x = 118,486,260,705.12
  5. Step 5: Solve for x
    x = 118,486,260,705.12/414,942.40
  6. Step 6: Final answer
    x = 285,548.69

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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.