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Finding the Fourth Proportional to 299,047.98, 412,684.82 and 164,911.98

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Solution

The fourth proportional to 299,047.98, 412,684.82 and 164,911.98 is: 227,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,047.98 : 412,684.82 = 164,911.98 : x
  2. Step 2: Convert to fraction form
    299,047.98/412,684.82 = 164,911.98/x
  3. Step 3: Cross multiply
    299,047.98x = 412,684.82 × 164,911.98
  4. Step 4: Simplify right side
    299,047.98x = 68,056,670,782.14
  5. Step 5: Solve for x
    x = 68,056,670,782.14/299,047.98
  6. Step 6: Final answer
    x = 227,577.76

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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.