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Finding the Fourth Proportional to 470,222.36, 649,105.43 and 317,467.39

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Solution

The fourth proportional to 470,222.36, 649,105.43 and 317,467.39 is: 438,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,222.36 : 649,105.43 = 317,467.39 : x
  2. Step 2: Convert to fraction form
    470,222.36/649,105.43 = 317,467.39/x
  3. Step 3: Cross multiply
    470,222.36x = 649,105.43 × 317,467.39
  4. Step 4: Simplify right side
    470,222.36x = 206,069,806,696.93
  5. Step 5: Solve for x
    x = 206,069,806,696.93/470,222.36
  6. Step 6: Final answer
    x = 438,239.06

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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.