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Finding the Fourth Proportional to 300,848.54, 415,176.36 and 164,873.48

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Solution

The fourth proportional to 300,848.54, 415,176.36 and 164,873.48 is: 227,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,848.54 : 415,176.36 = 164,873.48 : x
  2. Step 2: Convert to fraction form
    300,848.54/415,176.36 = 164,873.48/x
  3. Step 3: Cross multiply
    300,848.54x = 415,176.36 × 164,873.48
  4. Step 4: Simplify right side
    300,848.54x = 68,451,571,286.93
  5. Step 5: Solve for x
    x = 68,451,571,286.93/300,848.54
  6. Step 6: Final answer
    x = 227,528.35

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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.