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Finding the Fourth Proportional to 271,403.40, 407,105.10 and 201,419.40

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Solution

The fourth proportional to 271,403.40, 407,105.10 and 201,419.40 is: 302,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,403.40 : 407,105.10 = 201,419.40 : x
  2. Step 2: Convert to fraction form
    271,403.40/407,105.10 = 201,419.40/x
  3. Step 3: Cross multiply
    271,403.40x = 407,105.10 × 201,419.40
  4. Step 4: Simplify right side
    271,403.40x = 81,998,864,978.94
  5. Step 5: Solve for x
    x = 81,998,864,978.94/271,403.40
  6. Step 6: Final answer
    x = 302,129.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.