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Finding the Fourth Proportional to 419,010.12, 578,216.75 and 228,024.27

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Solution

The fourth proportional to 419,010.12, 578,216.75 and 228,024.27 is: 314,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,010.12 : 578,216.75 = 228,024.27 : x
  2. Step 2: Convert to fraction form
    419,010.12/578,216.75 = 228,024.27/x
  3. Step 3: Cross multiply
    419,010.12x = 578,216.75 × 228,024.27
  4. Step 4: Simplify right side
    419,010.12x = 131,847,451,180.40
  5. Step 5: Solve for x
    x = 131,847,451,180.40/419,010.12
  6. Step 6: Final answer
    x = 314,664.12

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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.