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Finding the Fourth Proportional to 271,651.40, 407,477.10 and 201,667.40

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Solution

The fourth proportional to 271,651.40, 407,477.10 and 201,667.40 is: 302,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,651.40 : 407,477.10 = 201,667.40 : x
  2. Step 2: Convert to fraction form
    271,651.40/407,477.10 = 201,667.40/x
  3. Step 3: Cross multiply
    271,651.40x = 407,477.10 × 201,667.40
  4. Step 4: Simplify right side
    271,651.40x = 82,174,847,316.54
  5. Step 5: Solve for x
    x = 82,174,847,316.54/271,651.40
  6. Step 6: Final answer
    x = 302,501.10

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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.