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Finding the Fourth Proportional to 271,808.60, 407,324.10 and 200,172.20

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Solution

The fourth proportional to 271,808.60, 407,324.10 and 200,172.20 is: 299,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.60 : 407,324.10 = 200,172.20 : x
  2. Step 2: Convert to fraction form
    271,808.60/407,324.10 = 200,172.20/x
  3. Step 3: Cross multiply
    271,808.60x = 407,324.10 × 200,172.20
  4. Step 4: Simplify right side
    271,808.60x = 81,534,961,210.02
  5. Step 5: Solve for x
    x = 81,534,961,210.02/271,808.60
  6. Step 6: Final answer
    x = 299,971.97

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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.