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Finding the Fourth Proportional to 300,718.08, 414,990.71 and 164,760.48

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Solution

The fourth proportional to 300,718.08, 414,990.71 and 164,760.48 is: 227,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,718.08 : 414,990.71 = 164,760.48 : x
  2. Step 2: Convert to fraction form
    300,718.08/414,990.71 = 164,760.48/x
  3. Step 3: Cross multiply
    300,718.08x = 414,990.71 × 164,760.48
  4. Step 4: Simplify right side
    300,718.08x = 68,374,067,751.34
  5. Step 5: Solve for x
    x = 68,374,067,751.34/300,718.08
  6. Step 6: Final answer
    x = 227,369.33

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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.