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Finding the Fourth Proportional to 492,212.70, 738,647.10 and 225,836.10

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Solution

The fourth proportional to 492,212.70, 738,647.10 and 225,836.10 is: 338,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,212.70 : 738,647.10 = 225,836.10 : x
  2. Step 2: Convert to fraction form
    492,212.70/738,647.10 = 225,836.10/x
  3. Step 3: Cross multiply
    492,212.70x = 738,647.10 × 225,836.10
  4. Step 4: Simplify right side
    492,212.70x = 166,813,180,340.31
  5. Step 5: Solve for x
    x = 166,813,180,340.31/492,212.70
  6. Step 6: Final answer
    x = 338,904.67

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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.