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Finding the Fourth Proportional to 300,894.88, 415,218.54 and 164,929.09

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Solution

The fourth proportional to 300,894.88, 415,218.54 and 164,929.09 is: 227,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,894.88 : 415,218.54 = 164,929.09 : x
  2. Step 2: Convert to fraction form
    300,894.88/415,218.54 = 164,929.09/x
  3. Step 3: Cross multiply
    300,894.88x = 415,218.54 × 164,929.09
  4. Step 4: Simplify right side
    300,894.88x = 68,481,615,953.33
  5. Step 5: Solve for x
    x = 68,481,615,953.33/300,894.88
  6. Step 6: Final answer
    x = 227,593.16

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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.