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Finding the Fourth Proportional to 307,297.92, 460,961.46 and 149,338.20

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Solution

The fourth proportional to 307,297.92, 460,961.46 and 149,338.20 is: 224,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,297.92 : 460,961.46 = 149,338.20 : x
  2. Step 2: Convert to fraction form
    307,297.92/460,961.46 = 149,338.20/x
  3. Step 3: Cross multiply
    307,297.92x = 460,961.46 × 149,338.20
  4. Step 4: Simplify right side
    307,297.92x = 68,839,154,705.77
  5. Step 5: Solve for x
    x = 68,839,154,705.77/307,297.92
  6. Step 6: Final answer
    x = 224,014.39

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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.