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Finding the Fourth Proportional to 337,643.81, 465,963.38 and 194,449.98

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Solution

The fourth proportional to 337,643.81, 465,963.38 and 194,449.98 is: 268,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.81 : 465,963.38 = 194,449.98 : x
  2. Step 2: Convert to fraction form
    337,643.81/465,963.38 = 194,449.98/x
  3. Step 3: Cross multiply
    337,643.81x = 465,963.38 × 194,449.98
  4. Step 4: Simplify right side
    337,643.81x = 90,606,568,949.48
  5. Step 5: Solve for x
    x = 90,606,568,949.48/337,643.81
  6. Step 6: Final answer
    x = 268,349.57

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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.