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Finding the Fourth Proportional to 311,647.68, 430,357.05 and 235,035.54

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Solution

The fourth proportional to 311,647.68, 430,357.05 and 235,035.54 is: 324,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,647.68 : 430,357.05 = 235,035.54 : x
  2. Step 2: Convert to fraction form
    311,647.68/430,357.05 = 235,035.54/x
  3. Step 3: Cross multiply
    311,647.68x = 430,357.05 × 235,035.54
  4. Step 4: Simplify right side
    311,647.68x = 101,149,201,639.56
  5. Step 5: Solve for x
    x = 101,149,201,639.56/311,647.68
  6. Step 6: Final answer
    x = 324,562.67

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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.