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Finding the Fourth Proportional to 507,221.53, 699,986.82 and 280,867.03

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Solution

The fourth proportional to 507,221.53, 699,986.82 and 280,867.03 is: 387,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,221.53 : 699,986.82 = 280,867.03 : x
  2. Step 2: Convert to fraction form
    507,221.53/699,986.82 = 280,867.03/x
  3. Step 3: Cross multiply
    507,221.53x = 699,986.82 × 280,867.03
  4. Step 4: Simplify right side
    507,221.53x = 196,603,219,172.55
  5. Step 5: Solve for x
    x = 196,603,219,172.55/507,221.53
  6. Step 6: Final answer
    x = 387,608.19

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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.