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Finding the Fourth Proportional to 378,408.66, 522,294.94 and 227,476.50

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Solution

The fourth proportional to 378,408.66, 522,294.94 and 227,476.50 is: 313,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,408.66 : 522,294.94 = 227,476.50 : x
  2. Step 2: Convert to fraction form
    378,408.66/522,294.94 = 227,476.50/x
  3. Step 3: Cross multiply
    378,408.66x = 522,294.94 × 227,476.50
  4. Step 4: Simplify right side
    378,408.66x = 118,809,824,918.91
  5. Step 5: Solve for x
    x = 118,809,824,918.91/378,408.66
  6. Step 6: Final answer
    x = 313,972.27

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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.