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Finding the Fourth Proportional to 380,100.26, 524,502.74 and 227,107.99

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Solution

The fourth proportional to 380,100.26, 524,502.74 and 227,107.99 is: 313,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,100.26 : 524,502.74 = 227,107.99 : x
  2. Step 2: Convert to fraction form
    380,100.26/524,502.74 = 227,107.99/x
  3. Step 3: Cross multiply
    380,100.26x = 524,502.74 × 227,107.99
  4. Step 4: Simplify right side
    380,100.26x = 119,118,763,516.71
  5. Step 5: Solve for x
    x = 119,118,763,516.71/380,100.26
  6. Step 6: Final answer
    x = 313,387.75

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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.