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Finding the Fourth Proportional to 462,323.76, 693,540.90 and 196,049.67

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Solution

The fourth proportional to 462,323.76, 693,540.90 and 196,049.67 is: 294,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,323.76 : 693,540.90 = 196,049.67 : x
  2. Step 2: Convert to fraction form
    462,323.76/693,540.90 = 196,049.67/x
  3. Step 3: Cross multiply
    462,323.76x = 693,540.90 × 196,049.67
  4. Step 4: Simplify right side
    462,323.76x = 135,968,464,576.50
  5. Step 5: Solve for x
    x = 135,968,464,576.50/462,323.76
  6. Step 6: Final answer
    x = 294,097.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.