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Finding the Fourth Proportional to 271,243.61, 406,933.05 and 191,437.46

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Solution

The fourth proportional to 271,243.61, 406,933.05 and 191,437.46 is: 287,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,243.61 : 406,933.05 = 191,437.46 : x
  2. Step 2: Convert to fraction form
    271,243.61/406,933.05 = 191,437.46/x
  3. Step 3: Cross multiply
    271,243.61x = 406,933.05 × 191,437.46
  4. Step 4: Simplify right side
    271,243.61x = 77,902,227,447.39
  5. Step 5: Solve for x
    x = 77,902,227,447.39/271,243.61
  6. Step 6: Final answer
    x = 287,203.92

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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.