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Finding the Fourth Proportional to 271,814.30, 406,915.05 and 202,003.10

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Solution

The fourth proportional to 271,814.30, 406,915.05 and 202,003.10 is: 302,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814.30 : 406,915.05 = 202,003.10 : x
  2. Step 2: Convert to fraction form
    271,814.30/406,915.05 = 202,003.10/x
  3. Step 3: Cross multiply
    271,814.30x = 406,915.05 × 202,003.10
  4. Step 4: Simplify right side
    271,814.30x = 82,198,101,536.66
  5. Step 5: Solve for x
    x = 82,198,101,536.66/271,814.30
  6. Step 6: Final answer
    x = 302,405.36

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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.