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Finding the Fourth Proportional to 414,167.21, 621,181.61 and 114,678.07

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Solution

The fourth proportional to 414,167.21, 621,181.61 and 114,678.07 is: 171,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,167.21 : 621,181.61 = 114,678.07 : x
  2. Step 2: Convert to fraction form
    414,167.21/621,181.61 = 114,678.07/x
  3. Step 3: Cross multiply
    414,167.21x = 621,181.61 × 114,678.07
  4. Step 4: Simplify right side
    414,167.21x = 71,235,906,888.03
  5. Step 5: Solve for x
    x = 71,235,906,888.03/414,167.21
  6. Step 6: Final answer
    x = 171,997.94

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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.