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Finding the Fourth Proportional to 470,626.05, 649,469.01 and 255,766.17

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Solution

The fourth proportional to 470,626.05, 649,469.01 and 255,766.17 is: 352,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,626.05 : 649,469.01 = 255,766.17 : x
  2. Step 2: Convert to fraction form
    470,626.05/649,469.01 = 255,766.17/x
  3. Step 3: Cross multiply
    470,626.05x = 649,469.01 × 255,766.17
  4. Step 4: Simplify right side
    470,626.05x = 166,112,201,221.39
  5. Step 5: Solve for x
    x = 166,112,201,221.39/470,626.05
  6. Step 6: Final answer
    x = 352,960.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.