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Finding the Fourth Proportional to 311,692.22, 430,137.23 and 168,451.92

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Solution

The fourth proportional to 311,692.22, 430,137.23 and 168,451.92 is: 232,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692.22 : 430,137.23 = 168,451.92 : x
  2. Step 2: Convert to fraction form
    311,692.22/430,137.23 = 168,451.92/x
  3. Step 3: Cross multiply
    311,692.22x = 430,137.23 × 168,451.92
  4. Step 4: Simplify right side
    311,692.22x = 72,457,441,414.72
  5. Step 5: Solve for x
    x = 72,457,441,414.72/311,692.22
  6. Step 6: Final answer
    x = 232,464.71

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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.