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Finding the Fourth Proportional to 320,268.24, 480,239.15 and 106,959.42

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Solution

The fourth proportional to 320,268.24, 480,239.15 and 106,959.42 is: 160,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,268.24 : 480,239.15 = 106,959.42 : x
  2. Step 2: Convert to fraction form
    320,268.24/480,239.15 = 106,959.42/x
  3. Step 3: Cross multiply
    320,268.24x = 480,239.15 × 106,959.42
  4. Step 4: Simplify right side
    320,268.24x = 51,366,100,410.50
  5. Step 5: Solve for x
    x = 51,366,100,410.50/320,268.24
  6. Step 6: Final answer
    x = 160,384.62

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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.