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Finding the Fourth Proportional to 358,229.84, 494,361.30 and 205,265

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Solution

The fourth proportional to 358,229.84, 494,361.30 and 205,265 is: 283,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,229.84 : 494,361.30 = 205,265 : x
  2. Step 2: Convert to fraction form
    358,229.84/494,361.30 = 205,265/x
  3. Step 3: Cross multiply
    358,229.84x = 494,361.30 × 205,265
  4. Step 4: Simplify right side
    358,229.84x = 101,475,072,244.50
  5. Step 5: Solve for x
    x = 101,475,072,244.50/358,229.84
  6. Step 6: Final answer
    x = 283,268.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.