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Finding the Fourth Proportional to 550,867.23, 760,202.42 and 305,856

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Solution

The fourth proportional to 550,867.23, 760,202.42 and 305,856 is: 422,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,867.23 : 760,202.42 = 305,856 : x
  2. Step 2: Convert to fraction form
    550,867.23/760,202.42 = 305,856/x
  3. Step 3: Cross multiply
    550,867.23x = 760,202.42 × 305,856
  4. Step 4: Simplify right side
    550,867.23x = 232,512,469,842.24
  5. Step 5: Solve for x
    x = 232,512,469,842.24/550,867.23
  6. Step 6: Final answer
    x = 422,084.41

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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.