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Finding the Fourth Proportional to 287,687.58, 431,677.17 and 193,996.50

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Solution

The fourth proportional to 287,687.58, 431,677.17 and 193,996.50 is: 291,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,687.58 : 431,677.17 = 193,996.50 : x
  2. Step 2: Convert to fraction form
    287,687.58/431,677.17 = 193,996.50/x
  3. Step 3: Cross multiply
    287,687.58x = 431,677.17 × 193,996.50
  4. Step 4: Simplify right side
    287,687.58x = 83,743,860,109.91
  5. Step 5: Solve for x
    x = 83,743,860,109.91/287,687.58
  6. Step 6: Final answer
    x = 291,093.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.