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Finding the Fourth Proportional to 336,942, 465,039.36 and 200,984.40

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Solution

The fourth proportional to 336,942, 465,039.36 and 200,984.40 is: 277,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,942 : 465,039.36 = 200,984.40 : x
  2. Step 2: Convert to fraction form
    336,942/465,039.36 = 200,984.40/x
  3. Step 3: Cross multiply
    336,942x = 465,039.36 × 200,984.40
  4. Step 4: Simplify right side
    336,942x = 93,465,656,745.98
  5. Step 5: Solve for x
    x = 93,465,656,745.98/336,942
  6. Step 6: Final answer
    x = 277,393.90

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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.