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Finding the Fourth Proportional to 289,738.80, 434,608.20 and 273,409.20

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Solution

The fourth proportional to 289,738.80, 434,608.20 and 273,409.20 is: 410,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,738.80 : 434,608.20 = 273,409.20 : x
  2. Step 2: Convert to fraction form
    289,738.80/434,608.20 = 273,409.20/x
  3. Step 3: Cross multiply
    289,738.80x = 434,608.20 × 273,409.20
  4. Step 4: Simplify right side
    289,738.80x = 118,825,880,275.44
  5. Step 5: Solve for x
    x = 118,825,880,275.44/289,738.80
  6. Step 6: Final answer
    x = 410,113.80

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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.