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Finding the Fourth Proportional to 271,813.23, 405,889.34 and 221,992.16

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Solution

The fourth proportional to 271,813.23, 405,889.34 and 221,992.16 is: 331,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.23 : 405,889.34 = 221,992.16 : x
  2. Step 2: Convert to fraction form
    271,813.23/405,889.34 = 221,992.16/x
  3. Step 3: Cross multiply
    271,813.23x = 405,889.34 × 221,992.16
  4. Step 4: Simplify right side
    271,813.23x = 90,104,248,168.17
  5. Step 5: Solve for x
    x = 90,104,248,168.17/271,813.23
  6. Step 6: Final answer
    x = 331,493.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.