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Finding the Fourth Proportional to 414,796.30, 622,435.93 and 174,895.16

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Solution

The fourth proportional to 414,796.30, 622,435.93 and 174,895.16 is: 262,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,796.30 : 622,435.93 = 174,895.16 : x
  2. Step 2: Convert to fraction form
    414,796.30/622,435.93 = 174,895.16/x
  3. Step 3: Cross multiply
    414,796.30x = 622,435.93 × 174,895.16
  4. Step 4: Simplify right side
    414,796.30x = 108,861,028,017.68
  5. Step 5: Solve for x
    x = 108,861,028,017.68/414,796.30
  6. Step 6: Final answer
    x = 262,444.55

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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.