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Finding the Fourth Proportional to 419,406.50, 628,487.46 and 308,054.18

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Solution

The fourth proportional to 419,406.50, 628,487.46 and 308,054.18 is: 461,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406.50 : 628,487.46 = 308,054.18 : x
  2. Step 2: Convert to fraction form
    419,406.50/628,487.46 = 308,054.18/x
  3. Step 3: Cross multiply
    419,406.50x = 628,487.46 × 308,054.18
  4. Step 4: Simplify right side
    419,406.50x = 193,608,189,130.58
  5. Step 5: Solve for x
    x = 193,608,189,130.58/419,406.50
  6. Step 6: Final answer
    x = 461,624.20

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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.