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Finding the Fourth Proportional to 490,359.18, 735,173.46 and 206,132.88

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Solution

The fourth proportional to 490,359.18, 735,173.46 and 206,132.88 is: 309,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,359.18 : 735,173.46 = 206,132.88 : x
  2. Step 2: Convert to fraction form
    490,359.18/735,173.46 = 206,132.88/x
  3. Step 3: Cross multiply
    490,359.18x = 735,173.46 × 206,132.88
  4. Step 4: Simplify right side
    490,359.18x = 151,543,422,609.37
  5. Step 5: Solve for x
    x = 151,543,422,609.37/490,359.18
  6. Step 6: Final answer
    x = 309,045.75

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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.