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Finding the Fourth Proportional to 300,539.97, 414,745.11 and 164,573.91

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Solution

The fourth proportional to 300,539.97, 414,745.11 and 164,573.91 is: 227,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,539.97 : 414,745.11 = 164,573.91 : x
  2. Step 2: Convert to fraction form
    300,539.97/414,745.11 = 164,573.91/x
  3. Step 3: Cross multiply
    300,539.97x = 414,745.11 × 164,573.91
  4. Step 4: Simplify right side
    300,539.97x = 68,256,224,406.08
  5. Step 5: Solve for x
    x = 68,256,224,406.08/300,539.97
  6. Step 6: Final answer
    x = 227,111.97

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1.5x scale

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.