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Finding the Fourth Proportional to 300,661.40, 414,896.62 and 164,688.32

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Solution

The fourth proportional to 300,661.40, 414,896.62 and 164,688.32 is: 227,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,661.40 : 414,896.62 = 164,688.32 : x
  2. Step 2: Convert to fraction form
    300,661.40/414,896.62 = 164,688.32/x
  3. Step 3: Cross multiply
    300,661.40x = 414,896.62 × 164,688.32
  4. Step 4: Simplify right side
    300,661.40x = 68,328,627,321.48
  5. Step 5: Solve for x
    x = 68,328,627,321.48/300,661.40
  6. Step 6: Final answer
    x = 227,261.06

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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.