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Finding the Fourth Proportional to 276,222.33, 414,331.83 and 71,056.67

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Solution

The fourth proportional to 276,222.33, 414,331.83 and 71,056.67 is: 106,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,222.33 : 414,331.83 = 71,056.67 : x
  2. Step 2: Convert to fraction form
    276,222.33/414,331.83 = 71,056.67/x
  3. Step 3: Cross multiply
    276,222.33x = 414,331.83 × 71,056.67
  4. Step 4: Simplify right side
    276,222.33x = 29,441,038,043.15
  5. Step 5: Solve for x
    x = 29,441,038,043.15/276,222.33
  6. Step 6: Final answer
    x = 106,584.57

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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.