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Finding the Fourth Proportional to 300,506.78, 414,697.84 and 164,538.26

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Solution

The fourth proportional to 300,506.78, 414,697.84 and 164,538.26 is: 227,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,506.78 : 414,697.84 = 164,538.26 : x
  2. Step 2: Convert to fraction form
    300,506.78/414,697.84 = 164,538.26/x
  3. Step 3: Cross multiply
    300,506.78x = 414,697.84 × 164,538.26
  4. Step 4: Simplify right side
    300,506.78x = 68,233,661,019.36
  5. Step 5: Solve for x
    x = 68,233,661,019.36/300,506.78
  6. Step 6: Final answer
    x = 227,061.97

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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.