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Finding the Fourth Proportional to 428,181.68, 642,287.10 and 203,426.12

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Solution

The fourth proportional to 428,181.68, 642,287.10 and 203,426.12 is: 305,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,181.68 : 642,287.10 = 203,426.12 : x
  2. Step 2: Convert to fraction form
    428,181.68/642,287.10 = 203,426.12/x
  3. Step 3: Cross multiply
    428,181.68x = 642,287.10 × 203,426.12
  4. Step 4: Simplify right side
    428,181.68x = 130,657,972,679.05
  5. Step 5: Solve for x
    x = 130,657,972,679.05/428,181.68
  6. Step 6: Final answer
    x = 305,146.11

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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.