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Finding the Fourth Proportional to 419,123.50, 628,700.55 and 149,271.51

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Solution

The fourth proportional to 419,123.50, 628,700.55 and 149,271.51 is: 223,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,123.50 : 628,700.55 = 149,271.51 : x
  2. Step 2: Convert to fraction form
    419,123.50/628,700.55 = 149,271.51/x
  3. Step 3: Cross multiply
    419,123.50x = 628,700.55 × 149,271.51
  4. Step 4: Simplify right side
    419,123.50x = 93,847,080,436.33
  5. Step 5: Solve for x
    x = 93,847,080,436.33/419,123.50
  6. Step 6: Final answer
    x = 223,912.71

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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.