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Finding the Fourth Proportional to 414,484.86, 621,727.23 and 114,965.44

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Solution

The fourth proportional to 414,484.86, 621,727.23 and 114,965.44 is: 172,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,484.86 : 621,727.23 = 114,965.44 : x
  2. Step 2: Convert to fraction form
    414,484.86/621,727.23 = 114,965.44/x
  3. Step 3: Cross multiply
    414,484.86x = 621,727.23 × 114,965.44
  4. Step 4: Simplify right side
    414,484.86x = 71,477,143,433.73
  5. Step 5: Solve for x
    x = 71,477,143,433.73/414,484.86
  6. Step 6: Final answer
    x = 172,448.14

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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.