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Finding the Fourth Proportional to 470,971.94, 649,958.34 and 269,806.82

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Solution

The fourth proportional to 470,971.94, 649,958.34 and 269,806.82 is: 372,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,971.94 : 649,958.34 = 269,806.82 : x
  2. Step 2: Convert to fraction form
    470,971.94/649,958.34 = 269,806.82/x
  3. Step 3: Cross multiply
    470,971.94x = 649,958.34 × 269,806.82
  4. Step 4: Simplify right side
    470,971.94x = 175,363,192,847.88
  5. Step 5: Solve for x
    x = 175,363,192,847.88/470,971.94
  6. Step 6: Final answer
    x = 372,343.19

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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.