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Finding the Fourth Proportional to 305,131.68, 420,932.08 and 264,788.80

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Solution

The fourth proportional to 305,131.68, 420,932.08 and 264,788.80 is: 365,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.68 : 420,932.08 = 264,788.80 : x
  2. Step 2: Convert to fraction form
    305,131.68/420,932.08 = 264,788.80/x
  3. Step 3: Cross multiply
    305,131.68x = 420,932.08 × 264,788.80
  4. Step 4: Simplify right side
    305,131.68x = 111,458,100,344.70
  5. Step 5: Solve for x
    x = 111,458,100,344.70/305,131.68
  6. Step 6: Final answer
    x = 365,278.69

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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.