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Finding the Fourth Proportional to 301,816.80, 416,387.73 and 194,449.44

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Solution

The fourth proportional to 301,816.80, 416,387.73 and 194,449.44 is: 268,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,816.80 : 416,387.73 = 194,449.44 : x
  2. Step 2: Convert to fraction form
    301,816.80/416,387.73 = 194,449.44/x
  3. Step 3: Cross multiply
    301,816.80x = 416,387.73 × 194,449.44
  4. Step 4: Simplify right side
    301,816.80x = 80,966,360,921.37
  5. Step 5: Solve for x
    x = 80,966,360,921.37/301,816.80
  6. Step 6: Final answer
    x = 268,263.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.