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Finding the Fourth Proportional to 289,591.27, 399,399 and 203,834.14

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Solution

The fourth proportional to 289,591.27, 399,399 and 203,834.14 is: 281,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,591.27 : 399,399 = 203,834.14 : x
  2. Step 2: Convert to fraction form
    289,591.27/399,399 = 203,834.14/x
  3. Step 3: Cross multiply
    289,591.27x = 399,399 × 203,834.14
  4. Step 4: Simplify right side
    289,591.27x = 81,411,151,681.86
  5. Step 5: Solve for x
    x = 81,411,151,681.86/289,591.27
  6. Step 6: Final answer
    x = 281,124.33

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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.