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Finding the Fourth Proportional to 299,735.36, 413,818.10 and 195,059.06

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Solution

The fourth proportional to 299,735.36, 413,818.10 and 195,059.06 is: 269,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,735.36 : 413,818.10 = 195,059.06 : x
  2. Step 2: Convert to fraction form
    299,735.36/413,818.10 = 195,059.06/x
  3. Step 3: Cross multiply
    299,735.36x = 413,818.10 × 195,059.06
  4. Step 4: Simplify right side
    299,735.36x = 80,718,968,015.54
  5. Step 5: Solve for x
    x = 80,718,968,015.54/299,735.36
  6. Step 6: Final answer
    x = 269,300.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.