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Finding the Fourth Proportional to 507,200.50, 699,936.69 and 280,846

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Solution

The fourth proportional to 507,200.50, 699,936.69 and 280,846 is: 387,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,200.50 : 699,936.69 = 280,846 : x
  2. Step 2: Convert to fraction form
    507,200.50/699,936.69 = 280,846/x
  3. Step 3: Cross multiply
    507,200.50x = 699,936.69 × 280,846
  4. Step 4: Simplify right side
    507,200.50x = 196,574,419,639.74
  5. Step 5: Solve for x
    x = 196,574,419,639.74/507,200.50
  6. Step 6: Final answer
    x = 387,567.48

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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.