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Finding the Fourth Proportional to 398,704.80, 598,057.20 and 161,968.80

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Solution

The fourth proportional to 398,704.80, 598,057.20 and 161,968.80 is: 242,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,704.80 : 598,057.20 = 161,968.80 : x
  2. Step 2: Convert to fraction form
    398,704.80/598,057.20 = 161,968.80/x
  3. Step 3: Cross multiply
    398,704.80x = 598,057.20 × 161,968.80
  4. Step 4: Simplify right side
    398,704.80x = 96,866,607,015.36
  5. Step 5: Solve for x
    x = 96,866,607,015.36/398,704.80
  6. Step 6: Final answer
    x = 242,953.20

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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.