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Finding the Fourth Proportional to 414,525.40, 622,116.15 and 161,926.90

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Solution

The fourth proportional to 414,525.40, 622,116.15 and 161,926.90 is: 243,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,525.40 : 622,116.15 = 161,926.90 : x
  2. Step 2: Convert to fraction form
    414,525.40/622,116.15 = 161,926.90/x
  3. Step 3: Cross multiply
    414,525.40x = 622,116.15 × 161,926.90
  4. Step 4: Simplify right side
    414,525.40x = 100,737,339,609.44
  5. Step 5: Solve for x
    x = 100,737,339,609.44/414,525.40
  6. Step 6: Final answer
    x = 243,018.50

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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.