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Finding the Fourth Proportional to 419,019.10, 578,259.41 and 237,738.67

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Solution

The fourth proportional to 419,019.10, 578,259.41 and 237,738.67 is: 328,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,019.10 : 578,259.41 = 237,738.67 : x
  2. Step 2: Convert to fraction form
    419,019.10/578,259.41 = 237,738.67/x
  3. Step 3: Cross multiply
    419,019.10x = 578,259.41 × 237,738.67
  4. Step 4: Simplify right side
    419,019.10x = 137,474,620,414.04
  5. Step 5: Solve for x
    x = 137,474,620,414.04/419,019.10
  6. Step 6: Final answer
    x = 328,086.77

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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.