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Finding the Fourth Proportional to 296,324.98, 444,610.52 and 189,829

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Solution

The fourth proportional to 296,324.98, 444,610.52 and 189,829 is: 284,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,324.98 : 444,610.52 = 189,829 : x
  2. Step 2: Convert to fraction form
    296,324.98/444,610.52 = 189,829/x
  3. Step 3: Cross multiply
    296,324.98x = 444,610.52 × 189,829
  4. Step 4: Simplify right side
    296,324.98x = 84,399,970,401.08
  5. Step 5: Solve for x
    x = 84,399,970,401.08/296,324.98
  6. Step 6: Final answer
    x = 284,822.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.