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Finding the Fourth Proportional to 271,719.44, 407,004.60 and 171,828.08

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Solution

The fourth proportional to 271,719.44, 407,004.60 and 171,828.08 is: 257,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,719.44 : 407,004.60 = 171,828.08 : x
  2. Step 2: Convert to fraction form
    271,719.44/407,004.60 = 171,828.08/x
  3. Step 3: Cross multiply
    271,719.44x = 407,004.60 × 171,828.08
  4. Step 4: Simplify right side
    271,719.44x = 69,934,818,969.17
  5. Step 5: Solve for x
    x = 69,934,818,969.17/271,719.44
  6. Step 6: Final answer
    x = 257,378.78

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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.