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Finding the Fourth Proportional to 271,693.44, 406,965.60 and 171,802.08

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Solution

The fourth proportional to 271,693.44, 406,965.60 and 171,802.08 is: 257,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,693.44 : 406,965.60 = 171,802.08 : x
  2. Step 2: Convert to fraction form
    271,693.44/406,965.60 = 171,802.08/x
  3. Step 3: Cross multiply
    271,693.44x = 406,965.60 × 171,802.08
  4. Step 4: Simplify right side
    271,693.44x = 69,917,536,568.45
  5. Step 5: Solve for x
    x = 69,917,536,568.45/271,693.44
  6. Step 6: Final answer
    x = 257,339.80

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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.