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Finding the Fourth Proportional to 299,000.52, 412,619.22 and 164,864.52

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Solution

The fourth proportional to 299,000.52, 412,619.22 and 164,864.52 is: 227,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000.52 : 412,619.22 = 164,864.52 : x
  2. Step 2: Convert to fraction form
    299,000.52/412,619.22 = 164,864.52/x
  3. Step 3: Cross multiply
    299,000.52x = 412,619.22 × 164,864.52
  4. Step 4: Simplify right side
    299,000.52x = 68,026,269,648.07
  5. Step 5: Solve for x
    x = 68,026,269,648.07/299,000.52
  6. Step 6: Final answer
    x = 227,512.21

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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.