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Finding the Fourth Proportional to 271,807.60, 407,322.60 and 200,171.20

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Solution

The fourth proportional to 271,807.60, 407,322.60 and 200,171.20 is: 299,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.60 : 407,322.60 = 200,171.20 : x
  2. Step 2: Convert to fraction form
    271,807.60/407,322.60 = 200,171.20/x
  3. Step 3: Cross multiply
    271,807.60x = 407,322.60 × 200,171.20
  4. Step 4: Simplify right side
    271,807.60x = 81,534,253,629.12
  5. Step 5: Solve for x
    x = 81,534,253,629.12/271,807.60
  6. Step 6: Final answer
    x = 299,970.47

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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.