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Finding the Fourth Proportional to 271,735, 407,599.06 and 191,441.24

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Solution

The fourth proportional to 271,735, 407,599.06 and 191,441.24 is: 287,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,735 : 407,599.06 = 191,441.24 : x
  2. Step 2: Convert to fraction form
    271,735/407,599.06 = 191,441.24/x
  3. Step 3: Cross multiply
    271,735x = 407,599.06 × 191,441.24
  4. Step 4: Simplify right side
    271,735x = 78,031,269,469.23
  5. Step 5: Solve for x
    x = 78,031,269,469.23/271,735
  6. Step 6: Final answer
    x = 287,159.44

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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.