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Finding the Fourth Proportional to 362,138.80, 543,208.20 and 227,419.60

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Solution

The fourth proportional to 362,138.80, 543,208.20 and 227,419.60 is: 341,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,138.80 : 543,208.20 = 227,419.60 : x
  2. Step 2: Convert to fraction form
    362,138.80/543,208.20 = 227,419.60/x
  3. Step 3: Cross multiply
    362,138.80x = 543,208.20 × 227,419.60
  4. Step 4: Simplify right side
    362,138.80x = 123,536,191,560.72
  5. Step 5: Solve for x
    x = 123,536,191,560.72/362,138.80
  6. Step 6: Final answer
    x = 341,129.40

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1.5x scale

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.