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Finding the Fourth Proportional to 290,734.80, 436,116.60 and 150,766.80

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Solution

The fourth proportional to 290,734.80, 436,116.60 and 150,766.80 is: 226,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,734.80 : 436,116.60 = 150,766.80 : x
  2. Step 2: Convert to fraction form
    290,734.80/436,116.60 = 150,766.80/x
  3. Step 3: Cross multiply
    290,734.80x = 436,116.60 × 150,766.80
  4. Step 4: Simplify right side
    290,734.80x = 65,751,904,208.88
  5. Step 5: Solve for x
    x = 65,751,904,208.88/290,734.80
  6. Step 6: Final answer
    x = 226,157.67

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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.