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Finding the Fourth Proportional to 358,116.42, 494,286.94 and 205,244.20

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Solution

The fourth proportional to 358,116.42, 494,286.94 and 205,244.20 is: 283,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,116.42 : 494,286.94 = 205,244.20 : x
  2. Step 2: Convert to fraction form
    358,116.42/494,286.94 = 205,244.20/x
  3. Step 3: Cross multiply
    358,116.42x = 494,286.94 × 205,244.20
  4. Step 4: Simplify right side
    358,116.42x = 101,449,527,570.75
  5. Step 5: Solve for x
    x = 101,449,527,570.75/358,116.42
  6. Step 6: Final answer
    x = 283,286.45

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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.