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Finding the Fourth Proportional to 235,900.46, 323,711.61 and 214,516.46

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Solution

The fourth proportional to 235,900.46, 323,711.61 and 214,516.46 is: 294,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,900.46 : 323,711.61 = 214,516.46 : x
  2. Step 2: Convert to fraction form
    235,900.46/323,711.61 = 214,516.46/x
  3. Step 3: Cross multiply
    235,900.46x = 323,711.61 × 214,516.46
  4. Step 4: Simplify right side
    235,900.46x = 69,441,467,823.98
  5. Step 5: Solve for x
    x = 69,441,467,823.98/235,900.46
  6. Step 6: Final answer
    x = 294,367.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.