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Finding the Fourth Proportional to 787,989, 1,181,983.50 and 197,013

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Solution

The fourth proportional to 787,989, 1,181,983.50 and 197,013 is: 295,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,989 : 1,181,983.50 = 197,013 : x
  2. Step 2: Convert to fraction form
    787,989/1,181,983.50 = 197,013/x
  3. Step 3: Cross multiply
    787,989x = 1,181,983.50 × 197,013
  4. Step 4: Simplify right side
    787,989x = 232,866,115,285.50
  5. Step 5: Solve for x
    x = 232,866,115,285.50/787,989
  6. Step 6: Final answer
    x = 295,519.50

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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.