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Finding the Fourth Proportional to 301,380.24, 452,217.24 and 123,940.56

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Solution

The fourth proportional to 301,380.24, 452,217.24 and 123,940.56 is: 185,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,380.24 : 452,217.24 = 123,940.56 : x
  2. Step 2: Convert to fraction form
    301,380.24/452,217.24 = 123,940.56/x
  3. Step 3: Cross multiply
    301,380.24x = 452,217.24 × 123,940.56
  4. Step 4: Simplify right side
    301,380.24x = 56,048,057,967.25
  5. Step 5: Solve for x
    x = 56,048,057,967.25/301,380.24
  6. Step 6: Final answer
    x = 185,971.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.