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Finding the Fourth Proportional to 300,443.22, 414,745.65 and 198,532.26

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Solution

The fourth proportional to 300,443.22, 414,745.65 and 198,532.26 is: 274,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,443.22 : 414,745.65 = 198,532.26 : x
  2. Step 2: Convert to fraction form
    300,443.22/414,745.65 = 198,532.26/x
  3. Step 3: Cross multiply
    300,443.22x = 414,745.65 × 198,532.26
  4. Step 4: Simplify right side
    300,443.22x = 82,340,391,219.67
  5. Step 5: Solve for x
    x = 82,340,391,219.67/300,443.22
  6. Step 6: Final answer
    x = 274,063.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.