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Finding the Fourth Proportional to 428,327.80, 642,297.30 and 161,999.80

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Solution

The fourth proportional to 428,327.80, 642,297.30 and 161,999.80 is: 242,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,327.80 : 642,297.30 = 161,999.80 : x
  2. Step 2: Convert to fraction form
    428,327.80/642,297.30 = 161,999.80/x
  3. Step 3: Cross multiply
    428,327.80x = 642,297.30 × 161,999.80
  4. Step 4: Simplify right side
    428,327.80x = 104,052,034,140.54
  5. Step 5: Solve for x
    x = 104,052,034,140.54/428,327.80
  6. Step 6: Final answer
    x = 242,926.18

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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.