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Finding the Fourth Proportional to 326,764.20, 490,244.76 and 116,374.80

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Solution

The fourth proportional to 326,764.20, 490,244.76 and 116,374.80 is: 174,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,764.20 : 490,244.76 = 116,374.80 : x
  2. Step 2: Convert to fraction form
    326,764.20/490,244.76 = 116,374.80/x
  3. Step 3: Cross multiply
    326,764.20x = 490,244.76 × 116,374.80
  4. Step 4: Simplify right side
    326,764.20x = 57,052,135,896.05
  5. Step 5: Solve for x
    x = 57,052,135,896.05/326,764.20
  6. Step 6: Final answer
    x = 174,597.27

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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.