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Finding the Fourth Proportional to 405,243.89, 559,249.43 and 221,478.43

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Solution

The fourth proportional to 405,243.89, 559,249.43 and 221,478.43 is: 305,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,243.89 : 559,249.43 = 221,478.43 : x
  2. Step 2: Convert to fraction form
    405,243.89/559,249.43 = 221,478.43/x
  3. Step 3: Cross multiply
    405,243.89x = 559,249.43 × 221,478.43
  4. Step 4: Simplify right side
    405,243.89x = 123,861,682,108.00
  5. Step 5: Solve for x
    x = 123,861,682,108.00/405,243.89
  6. Step 6: Final answer
    x = 305,647.26

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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.