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Finding the Fourth Proportional to 271,524.81, 406,757.43 and 177,746.25

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Solution

The fourth proportional to 271,524.81, 406,757.43 and 177,746.25 is: 266,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,524.81 : 406,757.43 = 177,746.25 : x
  2. Step 2: Convert to fraction form
    271,524.81/406,757.43 = 177,746.25/x
  3. Step 3: Cross multiply
    271,524.81x = 406,757.43 × 177,746.25
  4. Step 4: Simplify right side
    271,524.81x = 72,299,607,842.14
  5. Step 5: Solve for x
    x = 72,299,607,842.14/271,524.81
  6. Step 6: Final answer
    x = 266,272.57

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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.