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Finding the Fourth Proportional to 271,302.86, 373,966.46 and 213,849

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Solution

The fourth proportional to 271,302.86, 373,966.46 and 213,849 is: 294,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,302.86 : 373,966.46 = 213,849 : x
  2. Step 2: Convert to fraction form
    271,302.86/373,966.46 = 213,849/x
  3. Step 3: Cross multiply
    271,302.86x = 373,966.46 × 213,849
  4. Step 4: Simplify right side
    271,302.86x = 79,972,352,435.30
  5. Step 5: Solve for x
    x = 79,972,352,435.30/271,302.86
  6. Step 6: Final answer
    x = 294,771.51

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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.