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Finding the Fourth Proportional to 271,588.20, 407,406 and 111,673.86

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Solution

The fourth proportional to 271,588.20, 407,406 and 111,673.86 is: 167,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,588.20 : 407,406 = 111,673.86 : x
  2. Step 2: Convert to fraction form
    271,588.20/407,406 = 111,673.86/x
  3. Step 3: Cross multiply
    271,588.20x = 407,406 × 111,673.86
  4. Step 4: Simplify right side
    271,588.20x = 45,496,600,607.16
  5. Step 5: Solve for x
    x = 45,496,600,607.16/271,588.20
  6. Step 6: Final answer
    x = 167,520.54

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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.