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Finding the Fourth Proportional to 271,730.44, 407,595.26 and 178,214.28

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Solution

The fourth proportional to 271,730.44, 407,595.26 and 178,214.28 is: 267,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,730.44 : 407,595.26 = 178,214.28 : x
  2. Step 2: Convert to fraction form
    271,730.44/407,595.26 = 178,214.28/x
  3. Step 3: Cross multiply
    271,730.44x = 407,595.26 × 178,214.28
  4. Step 4: Simplify right side
    271,730.44x = 72,639,295,792.31
  5. Step 5: Solve for x
    x = 72,639,295,792.31/271,730.44
  6. Step 6: Final answer
    x = 267,321.16

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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.