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Finding the Fourth Proportional to 271,751.09, 407,412.25 and 171,700.43

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Solution

The fourth proportional to 271,751.09, 407,412.25 and 171,700.43 is: 257,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,751.09 : 407,412.25 = 171,700.43 : x
  2. Step 2: Convert to fraction form
    271,751.09/407,412.25 = 171,700.43/x
  3. Step 3: Cross multiply
    271,751.09x = 407,412.25 × 171,700.43
  4. Step 4: Simplify right side
    271,751.09x = 69,952,856,045.96
  5. Step 5: Solve for x
    x = 69,952,856,045.96/271,751.09
  6. Step 6: Final answer
    x = 257,415.19

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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.