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Finding the Fourth Proportional to 320,843.93, 481,739.00 and 178,966.40

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Solution

The fourth proportional to 320,843.93, 481,739.00 and 178,966.40 is: 268,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,843.93 : 481,739.00 = 178,966.40 : x
  2. Step 2: Convert to fraction form
    320,843.93/481,739.00 = 178,966.40/x
  3. Step 3: Cross multiply
    320,843.93x = 481,739.00 × 178,966.40
  4. Step 4: Simplify right side
    320,843.93x = 86,215,091,266.07
  5. Step 5: Solve for x
    x = 86,215,091,266.07/320,843.93
  6. Step 6: Final answer
    x = 268,713.49

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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.