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Finding the Fourth Proportional to 490,626.32, 736,225.00 and 206,296.27

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Solution

The fourth proportional to 490,626.32, 736,225.00 and 206,296.27 is: 309,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,626.32 : 736,225.00 = 206,296.27 : x
  2. Step 2: Convert to fraction form
    490,626.32/736,225.00 = 206,296.27/x
  3. Step 3: Cross multiply
    490,626.32x = 736,225.00 × 206,296.27
  4. Step 4: Simplify right side
    490,626.32x = 151,880,469,024.45
  5. Step 5: Solve for x
    x = 151,880,469,024.45/490,626.32
  6. Step 6: Final answer
    x = 309,564.46

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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.