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Finding the Fourth Proportional to 414,899.91, 622,211.22 and 162,114.84

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Solution

The fourth proportional to 414,899.91, 622,211.22 and 162,114.84 is: 243,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,899.91 : 622,211.22 = 162,114.84 : x
  2. Step 2: Convert to fraction form
    414,899.91/622,211.22 = 162,114.84/x
  3. Step 3: Cross multiply
    414,899.91x = 622,211.22 × 162,114.84
  4. Step 4: Simplify right side
    414,899.91x = 100,869,672,376.51
  5. Step 5: Solve for x
    x = 100,869,672,376.51/414,899.91
  6. Step 6: Final answer
    x = 243,118.09

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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.