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Finding the Fourth Proportional to 299,090.46, 412,730.26 and 178,229.06

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Solution

The fourth proportional to 299,090.46, 412,730.26 and 178,229.06 is: 245,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,090.46 : 412,730.26 = 178,229.06 : x
  2. Step 2: Convert to fraction form
    299,090.46/412,730.26 = 178,229.06/x
  3. Step 3: Cross multiply
    299,090.46x = 412,730.26 × 178,229.06
  4. Step 4: Simplify right side
    299,090.46x = 73,560,526,273.36
  5. Step 5: Solve for x
    x = 73,560,526,273.36/299,090.46
  6. Step 6: Final answer
    x = 245,947.42

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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.