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Finding the Fourth Proportional to 299,975.33, 413,969.89 and 164,009.44

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Solution

The fourth proportional to 299,975.33, 413,969.89 and 164,009.44 is: 226,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,975.33 : 413,969.89 = 164,009.44 : x
  2. Step 2: Convert to fraction form
    299,975.33/413,969.89 = 164,009.44/x
  3. Step 3: Cross multiply
    299,975.33x = 413,969.89 × 164,009.44
  4. Step 4: Simplify right side
    299,975.33x = 67,894,967,812.37
  5. Step 5: Solve for x
    x = 67,894,967,812.37/299,975.33
  6. Step 6: Final answer
    x = 226,335.17

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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.