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Finding the Fourth Proportional to 320,301.46, 480,289.99 and 106,993.33

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Solution

The fourth proportional to 320,301.46, 480,289.99 and 106,993.33 is: 160,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,301.46 : 480,289.99 = 106,993.33 : x
  2. Step 2: Convert to fraction form
    320,301.46/480,289.99 = 106,993.33/x
  3. Step 3: Cross multiply
    320,301.46x = 480,289.99 × 106,993.33
  4. Step 4: Simplify right side
    320,301.46x = 51,387,825,395.77
  5. Step 5: Solve for x
    x = 51,387,825,395.77/320,301.46
  6. Step 6: Final answer
    x = 160,435.81

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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.