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Finding the Fourth Proportional to 311,430.58, 426,971.20 and 305,755.42

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Solution

The fourth proportional to 311,430.58, 426,971.20 and 305,755.42 is: 419,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430.58 : 426,971.20 = 305,755.42 : x
  2. Step 2: Convert to fraction form
    311,430.58/426,971.20 = 305,755.42/x
  3. Step 3: Cross multiply
    311,430.58x = 426,971.20 × 305,755.42
  4. Step 4: Simplify right side
    311,430.58x = 130,548,758,583.90
  5. Step 5: Solve for x
    x = 130,548,758,583.90/311,430.58
  6. Step 6: Final answer
    x = 419,190.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.