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Finding the Fourth Proportional to 428,144.80, 642,022.80 and 161,816.80

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Solution

The fourth proportional to 428,144.80, 642,022.80 and 161,816.80 is: 242,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,144.80 : 642,022.80 = 161,816.80 : x
  2. Step 2: Convert to fraction form
    428,144.80/642,022.80 = 161,816.80/x
  3. Step 3: Cross multiply
    428,144.80x = 642,022.80 × 161,816.80
  4. Step 4: Simplify right side
    428,144.80x = 103,890,075,023.04
  5. Step 5: Solve for x
    x = 103,890,075,023.04/428,144.80
  6. Step 6: Final answer
    x = 242,651.73

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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.