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Finding the Fourth Proportional to 271,348.13, 406,984.49 and 190,048.92

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Solution

The fourth proportional to 271,348.13, 406,984.49 and 190,048.92 is: 285,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,348.13 : 406,984.49 = 190,048.92 : x
  2. Step 2: Convert to fraction form
    271,348.13/406,984.49 = 190,048.92/x
  3. Step 3: Cross multiply
    271,348.13x = 406,984.49 × 190,048.92
  4. Step 4: Simplify right side
    271,348.13x = 77,346,961,017.50
  5. Step 5: Solve for x
    x = 77,346,961,017.50/271,348.13
  6. Step 6: Final answer
    x = 285,046.96

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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.