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Finding the Fourth Proportional to 271,240.41, 406,820.64 and 71,574.84

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Solution

The fourth proportional to 271,240.41, 406,820.64 and 71,574.84 is: 107,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,240.41 : 406,820.64 = 71,574.84 : x
  2. Step 2: Convert to fraction form
    271,240.41/406,820.64 = 71,574.84/x
  3. Step 3: Cross multiply
    271,240.41x = 406,820.64 × 71,574.84
  4. Step 4: Simplify right side
    271,240.41x = 29,118,122,216.70
  5. Step 5: Solve for x
    x = 29,118,122,216.70/271,240.41
  6. Step 6: Final answer
    x = 107,351.71

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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.