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Finding the Fourth Proportional to 277,863.04, 414,908.32 and 221,067.84

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Solution

The fourth proportional to 277,863.04, 414,908.32 and 221,067.84 is: 330,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,863.04 : 414,908.32 = 221,067.84 : x
  2. Step 2: Convert to fraction form
    277,863.04/414,908.32 = 221,067.84/x
  3. Step 3: Cross multiply
    277,863.04x = 414,908.32 × 221,067.84
  4. Step 4: Simplify right side
    277,863.04x = 91,722,886,100.43
  5. Step 5: Solve for x
    x = 91,722,886,100.43/277,863.04
  6. Step 6: Final answer
    x = 330,101.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.