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Finding the Fourth Proportional to 271,240.97, 406,929.11 and 191,434.82

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Solution

The fourth proportional to 271,240.97, 406,929.11 and 191,434.82 is: 287,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,240.97 : 406,929.11 = 191,434.82 : x
  2. Step 2: Convert to fraction form
    271,240.97/406,929.11 = 191,434.82/x
  3. Step 3: Cross multiply
    271,240.97x = 406,929.11 × 191,434.82
  4. Step 4: Simplify right side
    271,240.97x = 77,900,400,985.76
  5. Step 5: Solve for x
    x = 77,900,400,985.76/271,240.97
  6. Step 6: Final answer
    x = 287,199.98

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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.