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Finding the Fourth Proportional to 273,422.80, 410,134.20 and 230,120.20

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Solution

The fourth proportional to 273,422.80, 410,134.20 and 230,120.20 is: 345,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,422.80 : 410,134.20 = 230,120.20 : x
  2. Step 2: Convert to fraction form
    273,422.80/410,134.20 = 230,120.20/x
  3. Step 3: Cross multiply
    273,422.80x = 410,134.20 × 230,120.20
  4. Step 4: Simplify right side
    273,422.80x = 94,380,164,130.84
  5. Step 5: Solve for x
    x = 94,380,164,130.84/273,422.80
  6. Step 6: Final answer
    x = 345,180.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.