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Finding the Fourth Proportional to 470,809.11, 649,708.92 and 255,954.54

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Solution

The fourth proportional to 470,809.11, 649,708.92 and 255,954.54 is: 353,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,809.11 : 649,708.92 = 255,954.54 : x
  2. Step 2: Convert to fraction form
    470,809.11/649,708.92 = 255,954.54/x
  3. Step 3: Cross multiply
    470,809.11x = 649,708.92 × 255,954.54
  4. Step 4: Simplify right side
    470,809.11x = 166,295,947,752.50
  5. Step 5: Solve for x
    x = 166,295,947,752.50/470,809.11
  6. Step 6: Final answer
    x = 353,213.11

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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.