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Finding the Fourth Proportional to 365,014.86, 503,715.18 and 203,872.14

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Solution

The fourth proportional to 365,014.86, 503,715.18 and 203,872.14 is: 281,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,014.86 : 503,715.18 = 203,872.14 : x
  2. Step 2: Convert to fraction form
    365,014.86/503,715.18 = 203,872.14/x
  3. Step 3: Cross multiply
    365,014.86x = 503,715.18 × 203,872.14
  4. Step 4: Simplify right side
    365,014.86x = 102,693,491,697.09
  5. Step 5: Solve for x
    x = 102,693,491,697.09/365,014.86
  6. Step 6: Final answer
    x = 281,340.58

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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.