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Finding the Fourth Proportional to 300,466.26, 414,644.40 and 164,501.28

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Solution

The fourth proportional to 300,466.26, 414,644.40 and 164,501.28 is: 227,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,466.26 : 414,644.40 = 164,501.28 : x
  2. Step 2: Convert to fraction form
    300,466.26/414,644.40 = 164,501.28/x
  3. Step 3: Cross multiply
    300,466.26x = 414,644.40 × 164,501.28
  4. Step 4: Simplify right side
    300,466.26x = 68,209,534,544.83
  5. Step 5: Solve for x
    x = 68,209,534,544.83/300,466.26
  6. Step 6: Final answer
    x = 227,012.29

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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.