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Finding the Fourth Proportional to 419,134.44, 578,405.58 and 228,149.13

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Solution

The fourth proportional to 419,134.44, 578,405.58 and 228,149.13 is: 314,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134.44 : 578,405.58 = 228,149.13 : x
  2. Step 2: Convert to fraction form
    419,134.44/578,405.58 = 228,149.13/x
  3. Step 3: Cross multiply
    419,134.44x = 578,405.58 × 228,149.13
  4. Step 4: Simplify right side
    419,134.44x = 131,962,729,864.15
  5. Step 5: Solve for x
    x = 131,962,729,864.15/419,134.44
  6. Step 6: Final answer
    x = 314,845.83

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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.