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Finding the Fourth Proportional to 460,940.50, 691,481.99 and 157,263.56

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Solution

The fourth proportional to 460,940.50, 691,481.99 and 157,263.56 is: 235,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,940.50 : 691,481.99 = 157,263.56 : x
  2. Step 2: Convert to fraction form
    460,940.50/691,481.99 = 157,263.56/x
  3. Step 3: Cross multiply
    460,940.50x = 691,481.99 × 157,263.56
  4. Step 4: Simplify right side
    460,940.50x = 108,744,918,636.97
  5. Step 5: Solve for x
    x = 108,744,918,636.97/460,940.50
  6. Step 6: Final answer
    x = 235,919.64

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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.