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Finding the Fourth Proportional to 271,435.91, 407,361.71 and 195,497.96

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Solution

The fourth proportional to 271,435.91, 407,361.71 and 195,497.96 is: 293,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,435.91 : 407,361.71 = 195,497.96 : x
  2. Step 2: Convert to fraction form
    271,435.91/407,361.71 = 195,497.96/x
  3. Step 3: Cross multiply
    271,435.91x = 407,361.71 × 195,497.96
  4. Step 4: Simplify right side
    271,435.91x = 79,638,383,328.03
  5. Step 5: Solve for x
    x = 79,638,383,328.03/271,435.91
  6. Step 6: Final answer
    x = 293,396.64

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Why These Related Problems?

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