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Finding the Fourth Proportional to 300,602, 414,843.80 and 166,466

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Solution

The fourth proportional to 300,602, 414,843.80 and 166,466 is: 229,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,602 : 414,843.80 = 166,466 : x
  2. Step 2: Convert to fraction form
    300,602/414,843.80 = 166,466/x
  3. Step 3: Cross multiply
    300,602x = 414,843.80 × 166,466
  4. Step 4: Simplify right side
    300,602x = 69,057,388,010.80
  5. Step 5: Solve for x
    x = 69,057,388,010.80/300,602
  6. Step 6: Final answer
    x = 229,730.30

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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.