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Finding the Fourth Proportional to 296,236.31, 408,806.39 and 162,100.31

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Solution

The fourth proportional to 296,236.31, 408,806.39 and 162,100.31 is: 223,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,236.31 : 408,806.39 = 162,100.31 : x
  2. Step 2: Convert to fraction form
    296,236.31/408,806.39 = 162,100.31/x
  3. Step 3: Cross multiply
    296,236.31x = 408,806.39 × 162,100.31
  4. Step 4: Simplify right side
    296,236.31x = 66,267,642,760.50
  5. Step 5: Solve for x
    x = 66,267,642,760.50/296,236.31
  6. Step 6: Final answer
    x = 223,698.58

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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.