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Finding the Fourth Proportional to 307,989.60, 461,638.80 and 174,933.60

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Solution

The fourth proportional to 307,989.60, 461,638.80 and 174,933.60 is: 262,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989.60 : 461,638.80 = 174,933.60 : x
  2. Step 2: Convert to fraction form
    307,989.60/461,638.80 = 174,933.60/x
  3. Step 3: Cross multiply
    307,989.60x = 461,638.80 × 174,933.60
  4. Step 4: Simplify right side
    307,989.60x = 80,756,137,183.68
  5. Step 5: Solve for x
    x = 80,756,137,183.68/307,989.60
  6. Step 6: Final answer
    x = 262,204.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.