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Finding the Fourth Proportional to 414,797.58, 622,201.15 and 174,952.03

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Solution

The fourth proportional to 414,797.58, 622,201.15 and 174,952.03 is: 262,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,797.58 : 622,201.15 = 174,952.03 : x
  2. Step 2: Convert to fraction form
    414,797.58/622,201.15 = 174,952.03/x
  3. Step 3: Cross multiply
    414,797.58x = 622,201.15 × 174,952.03
  4. Step 4: Simplify right side
    414,797.58x = 108,855,352,924.02
  5. Step 5: Solve for x
    x = 108,855,352,924.02/414,797.58
  6. Step 6: Final answer
    x = 262,430.06

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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.