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Finding the Fourth Proportional to 454,996.80, 682,495.20 and 202,276.80

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Solution

The fourth proportional to 454,996.80, 682,495.20 and 202,276.80 is: 303,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,996.80 : 682,495.20 = 202,276.80 : x
  2. Step 2: Convert to fraction form
    454,996.80/682,495.20 = 202,276.80/x
  3. Step 3: Cross multiply
    454,996.80x = 682,495.20 × 202,276.80
  4. Step 4: Simplify right side
    454,996.80x = 138,052,945,071.36
  5. Step 5: Solve for x
    x = 138,052,945,071.36/454,996.80
  6. Step 6: Final answer
    x = 303,415.20

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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.