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Finding the Fourth Proportional to 313,880.40, 433,112.52 and 200,622.80

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Solution

The fourth proportional to 313,880.40, 433,112.52 and 200,622.80 is: 276,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.40 : 433,112.52 = 200,622.80 : x
  2. Step 2: Convert to fraction form
    313,880.40/433,112.52 = 200,622.80/x
  3. Step 3: Cross multiply
    313,880.40x = 433,112.52 × 200,622.80
  4. Step 4: Simplify right side
    313,880.40x = 86,892,246,477.46
  5. Step 5: Solve for x
    x = 86,892,246,477.46/313,880.40
  6. Step 6: Final answer
    x = 276,832.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.