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Finding the Fourth Proportional to 293,858.44, 405,524.58 and 159,722.44

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Solution

The fourth proportional to 293,858.44, 405,524.58 and 159,722.44 is: 220,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,858.44 : 405,524.58 = 159,722.44 : x
  2. Step 2: Convert to fraction form
    293,858.44/405,524.58 = 159,722.44/x
  3. Step 3: Cross multiply
    293,858.44x = 405,524.58 × 159,722.44
  4. Step 4: Simplify right side
    293,858.44x = 64,771,375,397.58
  5. Step 5: Solve for x
    x = 64,771,375,397.58/293,858.44
  6. Step 6: Final answer
    x = 220,416.93

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