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Finding the Fourth Proportional to 360,646.20, 541,163.70 and 150,305.40

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Solution

The fourth proportional to 360,646.20, 541,163.70 and 150,305.40 is: 225,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,646.20 : 541,163.70 = 150,305.40 : x
  2. Step 2: Convert to fraction form
    360,646.20/541,163.70 = 150,305.40/x
  3. Step 3: Cross multiply
    360,646.20x = 541,163.70 × 150,305.40
  4. Step 4: Simplify right side
    360,646.20x = 81,339,826,393.98
  5. Step 5: Solve for x
    x = 81,339,826,393.98/360,646.20
  6. Step 6: Final answer
    x = 225,539.12

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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.