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Finding the Fourth Proportional to 263,814.40, 364,228.95 and 203,270.14

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Solution

The fourth proportional to 263,814.40, 364,228.95 and 203,270.14 is: 280,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814.40 : 364,228.95 = 203,270.14 : x
  2. Step 2: Convert to fraction form
    263,814.40/364,228.95 = 203,270.14/x
  3. Step 3: Cross multiply
    263,814.40x = 364,228.95 × 203,270.14
  4. Step 4: Simplify right side
    263,814.40x = 74,036,869,658.55
  5. Step 5: Solve for x
    x = 74,036,869,658.55/263,814.40
  6. Step 6: Final answer
    x = 280,639.99

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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.