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Finding the Fourth Proportional to 271,807.30, 406,904.55 and 201,996.10

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Solution

The fourth proportional to 271,807.30, 406,904.55 and 201,996.10 is: 302,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.30 : 406,904.55 = 201,996.10 : x
  2. Step 2: Convert to fraction form
    271,807.30/406,904.55 = 201,996.10/x
  3. Step 3: Cross multiply
    271,807.30x = 406,904.55 × 201,996.10
  4. Step 4: Simplify right side
    271,807.30x = 82,193,132,172.26
  5. Step 5: Solve for x
    x = 82,193,132,172.26/271,807.30
  6. Step 6: Final answer
    x = 302,394.87

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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.