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Finding the Fourth Proportional to 399,142.26, 598,395.36 and 230,471.25

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Solution

The fourth proportional to 399,142.26, 598,395.36 and 230,471.25 is: 345,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,142.26 : 598,395.36 = 230,471.25 : x
  2. Step 2: Convert to fraction form
    399,142.26/598,395.36 = 230,471.25/x
  3. Step 3: Cross multiply
    399,142.26x = 598,395.36 × 230,471.25
  4. Step 4: Simplify right side
    399,142.26x = 137,912,926,613.40
  5. Step 5: Solve for x
    x = 137,912,926,613.40/399,142.26
  6. Step 6: Final answer
    x = 345,523.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.