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Finding the Fourth Proportional to 300,686.55, 414,947.60 and 164,725.41

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Solution

The fourth proportional to 300,686.55, 414,947.60 and 164,725.41 is: 227,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,686.55 : 414,947.60 = 164,725.41 : x
  2. Step 2: Convert to fraction form
    300,686.55/414,947.60 = 164,725.41/x
  3. Step 3: Cross multiply
    300,686.55x = 414,947.60 × 164,725.41
  4. Step 4: Simplify right side
    300,686.55x = 68,352,413,538.52
  5. Step 5: Solve for x
    x = 68,352,413,538.52/300,686.55
  6. Step 6: Final answer
    x = 227,321.15

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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.