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Finding the Fourth Proportional to 271,756.98, 405,805.46 and 221,935.91

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Solution

The fourth proportional to 271,756.98, 405,805.46 and 221,935.91 is: 331,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,756.98 : 405,805.46 = 221,935.91 : x
  2. Step 2: Convert to fraction form
    271,756.98/405,805.46 = 221,935.91/x
  3. Step 3: Cross multiply
    271,756.98x = 405,805.46 × 221,935.91
  4. Step 4: Simplify right side
    271,756.98x = 90,062,800,909.36
  5. Step 5: Solve for x
    x = 90,062,800,909.36/271,756.98
  6. Step 6: Final answer
    x = 331,409.34

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Why These Related Problems?

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