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Finding the Fourth Proportional to 461,344.20, 692,016.30 and 399,136.20

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Solution

The fourth proportional to 461,344.20, 692,016.30 and 399,136.20 is: 598,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,344.20 : 692,016.30 = 399,136.20 : x
  2. Step 2: Convert to fraction form
    461,344.20/692,016.30 = 399,136.20/x
  3. Step 3: Cross multiply
    461,344.20x = 692,016.30 × 399,136.20
  4. Step 4: Simplify right side
    461,344.20x = 276,208,756,320.06
  5. Step 5: Solve for x
    x = 276,208,756,320.06/461,344.20
  6. Step 6: Final answer
    x = 598,704.30

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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.