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Finding the Fourth Proportional to 412,993.69, 618,685.53 and 232,527.49

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Solution

The fourth proportional to 412,993.69, 618,685.53 and 232,527.49 is: 348,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,993.69 : 618,685.53 = 232,527.49 : x
  2. Step 2: Convert to fraction form
    412,993.69/618,685.53 = 232,527.49/x
  3. Step 3: Cross multiply
    412,993.69x = 618,685.53 × 232,527.49
  4. Step 4: Simplify right side
    412,993.69x = 143,861,392,227.58
  5. Step 5: Solve for x
    x = 143,861,392,227.58/412,993.69
  6. Step 6: Final answer
    x = 348,337.99

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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.