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Finding the Fourth Proportional to 307,226.40, 460,839.60 and 181,255.20

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Solution

The fourth proportional to 307,226.40, 460,839.60 and 181,255.20 is: 271,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226.40 : 460,839.60 = 181,255.20 : x
  2. Step 2: Convert to fraction form
    307,226.40/460,839.60 = 181,255.20/x
  3. Step 3: Cross multiply
    307,226.40x = 460,839.60 × 181,255.20
  4. Step 4: Simplify right side
    307,226.40x = 83,529,573,865.92
  5. Step 5: Solve for x
    x = 83,529,573,865.92/307,226.40
  6. Step 6: Final answer
    x = 271,882.80

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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.