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Finding the Fourth Proportional to 428,410.30, 642,615.45 and 218,458.30

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Solution

The fourth proportional to 428,410.30, 642,615.45 and 218,458.30 is: 327,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,410.30 : 642,615.45 = 218,458.30 : x
  2. Step 2: Convert to fraction form
    428,410.30/642,615.45 = 218,458.30/x
  3. Step 3: Cross multiply
    428,410.30x = 642,615.45 × 218,458.30
  4. Step 4: Simplify right side
    428,410.30x = 140,384,678,760.74
  5. Step 5: Solve for x
    x = 140,384,678,760.74/428,410.30
  6. Step 6: Final answer
    x = 327,687.45

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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.