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Finding the Fourth Proportional to 299,194.35, 412,889.16 and 163,231.12

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Solution

The fourth proportional to 299,194.35, 412,889.16 and 163,231.12 is: 225,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,194.35 : 412,889.16 = 163,231.12 : x
  2. Step 2: Convert to fraction form
    299,194.35/412,889.16 = 163,231.12/x
  3. Step 3: Cross multiply
    299,194.35x = 412,889.16 × 163,231.12
  4. Step 4: Simplify right side
    299,194.35x = 67,396,360,022.66
  5. Step 5: Solve for x
    x = 67,396,360,022.66/299,194.35
  6. Step 6: Final answer
    x = 225,259.47

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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.