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Finding the Fourth Proportional to 457,912.31, 686,901.26 and 120,949.60

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Solution

The fourth proportional to 457,912.31, 686,901.26 and 120,949.60 is: 181,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,912.31 : 686,901.26 = 120,949.60 : x
  2. Step 2: Convert to fraction form
    457,912.31/686,901.26 = 120,949.60/x
  3. Step 3: Cross multiply
    457,912.31x = 686,901.26 × 120,949.60
  4. Step 4: Simplify right side
    457,912.31x = 83,080,432,636.50
  5. Step 5: Solve for x
    x = 83,080,432,636.50/457,912.31
  6. Step 6: Final answer
    x = 181,433.06

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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.