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Finding the Fourth Proportional to 490,690.60, 736,035.90 and 280,738.60

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Solution

The fourth proportional to 490,690.60, 736,035.90 and 280,738.60 is: 421,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,690.60 : 736,035.90 = 280,738.60 : x
  2. Step 2: Convert to fraction form
    490,690.60/736,035.90 = 280,738.60/x
  3. Step 3: Cross multiply
    490,690.60x = 736,035.90 × 280,738.60
  4. Step 4: Simplify right side
    490,690.60x = 206,633,688,115.74
  5. Step 5: Solve for x
    x = 206,633,688,115.74/490,690.60
  6. Step 6: Final answer
    x = 421,107.90

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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.