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Finding the Fourth Proportional to 647,982.37, 972,407.40 and 268,903.50

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Solution

The fourth proportional to 647,982.37, 972,407.40 and 268,903.50 is: 403,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,982.37 : 972,407.40 = 268,903.50 : x
  2. Step 2: Convert to fraction form
    647,982.37/972,407.40 = 268,903.50/x
  3. Step 3: Cross multiply
    647,982.37x = 972,407.40 × 268,903.50
  4. Step 4: Simplify right side
    647,982.37x = 261,483,753,285.90
  5. Step 5: Solve for x
    x = 261,483,753,285.90/647,982.37
  6. Step 6: Final answer
    x = 403,535.29

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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.