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Finding the Fourth Proportional to 300,706.12, 414,973.23 and 164,739.88

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Solution

The fourth proportional to 300,706.12, 414,973.23 and 164,739.88 is: 227,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,706.12 : 414,973.23 = 164,739.88 : x
  2. Step 2: Convert to fraction form
    300,706.12/414,973.23 = 164,739.88/x
  3. Step 3: Cross multiply
    300,706.12x = 414,973.23 × 164,739.88
  4. Step 4: Simplify right side
    300,706.12x = 68,362,637,680.13
  5. Step 5: Solve for x
    x = 68,362,637,680.13/300,706.12
  6. Step 6: Final answer
    x = 227,340.36

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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.