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Finding the Fourth Proportional to 535,687.14, 739,257.23 and 293,992.20

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Solution

The fourth proportional to 535,687.14, 739,257.23 and 293,992.20 is: 405,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,687.14 : 739,257.23 = 293,992.20 : x
  2. Step 2: Convert to fraction form
    535,687.14/739,257.23 = 293,992.20/x
  3. Step 3: Cross multiply
    535,687.14x = 739,257.23 × 293,992.20
  4. Step 4: Simplify right side
    535,687.14x = 217,335,860,148.59
  5. Step 5: Solve for x
    x = 217,335,860,148.59/535,687.14
  6. Step 6: Final answer
    x = 405,714.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.