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Finding the Fourth Proportional to 305,843.50, 422,064.04 and 171,707.50

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Solution

The fourth proportional to 305,843.50, 422,064.04 and 171,707.50 is: 236,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,843.50 : 422,064.04 = 171,707.50 : x
  2. Step 2: Convert to fraction form
    305,843.50/422,064.04 = 171,707.50/x
  3. Step 3: Cross multiply
    305,843.50x = 422,064.04 × 171,707.50
  4. Step 4: Simplify right side
    305,843.50x = 72,471,561,148.30
  5. Step 5: Solve for x
    x = 72,471,561,148.30/305,843.50
  6. Step 6: Final answer
    x = 236,956.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.