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Finding the Fourth Proportional to 496,267.20, 744,206.40 and 180,561.60

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Solution

The fourth proportional to 496,267.20, 744,206.40 and 180,561.60 is: 270,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,267.20 : 744,206.40 = 180,561.60 : x
  2. Step 2: Convert to fraction form
    496,267.20/744,206.40 = 180,561.60/x
  3. Step 3: Cross multiply
    496,267.20x = 744,206.40 × 180,561.60
  4. Step 4: Simplify right side
    496,267.20x = 134,375,098,314.24
  5. Step 5: Solve for x
    x = 134,375,098,314.24/496,267.20
  6. Step 6: Final answer
    x = 270,771.67

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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.