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Finding the Fourth Proportional to 293,814, 405,466.56 and 159,678

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Solution

The fourth proportional to 293,814, 405,466.56 and 159,678 is: 220,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,814 : 405,466.56 = 159,678 : x
  2. Step 2: Convert to fraction form
    293,814/405,466.56 = 159,678/x
  3. Step 3: Cross multiply
    293,814x = 405,466.56 × 159,678
  4. Step 4: Simplify right side
    293,814x = 64,744,089,367.68
  5. Step 5: Solve for x
    x = 64,744,089,367.68/293,814
  6. Step 6: Final answer
    x = 220,357.40

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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.