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Finding the Fourth Proportional to 299,092.24, 412,735.80 and 164,956.24

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Solution

The fourth proportional to 299,092.24, 412,735.80 and 164,956.24 is: 227,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.24 : 412,735.80 = 164,956.24 : x
  2. Step 2: Convert to fraction form
    299,092.24/412,735.80 = 164,956.24/x
  3. Step 3: Cross multiply
    299,092.24x = 412,735.80 × 164,956.24
  4. Step 4: Simplify right side
    299,092.24x = 68,083,345,681.39
  5. Step 5: Solve for x
    x = 68,083,345,681.39/299,092.24
  6. Step 6: Final answer
    x = 227,633.27

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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.