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Finding the Fourth Proportional to 507,166.92, 699,912.18 and 280,812.42

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Solution

The fourth proportional to 507,166.92, 699,912.18 and 280,812.42 is: 387,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,166.92 : 699,912.18 = 280,812.42 : x
  2. Step 2: Convert to fraction form
    507,166.92/699,912.18 = 280,812.42/x
  3. Step 3: Cross multiply
    507,166.92x = 699,912.18 × 280,812.42
  4. Step 4: Simplify right side
    507,166.92x = 196,544,033,053.28
  5. Step 5: Solve for x
    x = 196,544,033,053.28/507,166.92
  6. Step 6: Final answer
    x = 387,533.23

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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.