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Finding the Fourth Proportional to 271,309.34, 373,975.44 and 213,855.50

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Solution

The fourth proportional to 271,309.34, 373,975.44 and 213,855.50 is: 294,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,309.34 : 373,975.44 = 213,855.50 : x
  2. Step 2: Convert to fraction form
    271,309.34/373,975.44 = 213,855.50/x
  3. Step 3: Cross multiply
    271,309.34x = 373,975.44 × 213,855.50
  4. Step 4: Simplify right side
    271,309.34x = 79,976,704,708.92
  5. Step 5: Solve for x
    x = 79,976,704,708.92/271,309.34
  6. Step 6: Final answer
    x = 294,780.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.