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Finding the Fourth Proportional to 394,534.24, 543,817.50 and 308,341

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Solution

The fourth proportional to 394,534.24, 543,817.50 and 308,341 is: 425,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,534.24 : 543,817.50 = 308,341 : x
  2. Step 2: Convert to fraction form
    394,534.24/543,817.50 = 308,341/x
  3. Step 3: Cross multiply
    394,534.24x = 543,817.50 × 308,341
  4. Step 4: Simplify right side
    394,534.24x = 167,681,231,767.50
  5. Step 5: Solve for x
    x = 167,681,231,767.50/394,534.24
  6. Step 6: Final answer
    x = 425,010.59

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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.