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Finding the Fourth Proportional to 299,046.98, 412,683.44 and 164,910.98

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Solution

The fourth proportional to 299,046.98, 412,683.44 and 164,910.98 is: 227,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,046.98 : 412,683.44 = 164,910.98 : x
  2. Step 2: Convert to fraction form
    299,046.98/412,683.44 = 164,910.98/x
  3. Step 3: Cross multiply
    299,046.98x = 412,683.44 × 164,910.98
  4. Step 4: Simplify right side
    299,046.98x = 68,056,030,520.17
  5. Step 5: Solve for x
    x = 68,056,030,520.17/299,046.98
  6. Step 6: Final answer
    x = 227,576.38

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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.