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Finding the Fourth Proportional to 300,265.42, 414,362.69 and 164,297.92

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Solution

The fourth proportional to 300,265.42, 414,362.69 and 164,297.92 is: 226,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,265.42 : 414,362.69 = 164,297.92 : x
  2. Step 2: Convert to fraction form
    300,265.42/414,362.69 = 164,297.92/x
  3. Step 3: Cross multiply
    300,265.42x = 414,362.69 × 164,297.92
  4. Step 4: Simplify right side
    300,265.42x = 68,078,927,628.26
  5. Step 5: Solve for x
    x = 68,078,927,628.26/300,265.42
  6. Step 6: Final answer
    x = 226,729.17

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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.