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Finding the Fourth Proportional to 270,734.33, 405,657.62 and 191,706.68

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Solution

The fourth proportional to 270,734.33, 405,657.62 and 191,706.68 is: 287,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,734.33 : 405,657.62 = 191,706.68 : x
  2. Step 2: Convert to fraction form
    270,734.33/405,657.62 = 191,706.68/x
  3. Step 3: Cross multiply
    270,734.33x = 405,657.62 × 191,706.68
  4. Step 4: Simplify right side
    270,734.33x = 77,767,274,588.37
  5. Step 5: Solve for x
    x = 77,767,274,588.37/270,734.33
  6. Step 6: Final answer
    x = 287,245.71

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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.