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Finding the Fourth Proportional to 300,473.37, 414,653.05 and 164,507.28

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Solution

The fourth proportional to 300,473.37, 414,653.05 and 164,507.28 is: 227,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,473.37 : 414,653.05 = 164,507.28 : x
  2. Step 2: Convert to fraction form
    300,473.37/414,653.05 = 164,507.28/x
  3. Step 3: Cross multiply
    300,473.37x = 414,653.05 × 164,507.28
  4. Step 4: Simplify right side
    300,473.37x = 68,213,444,987.94
  5. Step 5: Solve for x
    x = 68,213,444,987.94/300,473.37
  6. Step 6: Final answer
    x = 227,019.94

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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.