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Finding the Fourth Proportional to 288,108.44, 397,627.26 and 160,810.46

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Solution

The fourth proportional to 288,108.44, 397,627.26 and 160,810.46 is: 221,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,108.44 : 397,627.26 = 160,810.46 : x
  2. Step 2: Convert to fraction form
    288,108.44/397,627.26 = 160,810.46/x
  3. Step 3: Cross multiply
    288,108.44x = 397,627.26 × 160,810.46
  4. Step 4: Simplify right side
    288,108.44x = 63,942,622,589.14
  5. Step 5: Solve for x
    x = 63,942,622,589.14/288,108.44
  6. Step 6: Final answer
    x = 221,939.43

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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.