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Finding the Fourth Proportional to 262,122.30, 393,183.45 and 257,748.30

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Solution

The fourth proportional to 262,122.30, 393,183.45 and 257,748.30 is: 386,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,122.30 : 393,183.45 = 257,748.30 : x
  2. Step 2: Convert to fraction form
    262,122.30/393,183.45 = 257,748.30/x
  3. Step 3: Cross multiply
    262,122.30x = 393,183.45 × 257,748.30
  4. Step 4: Simplify right side
    262,122.30x = 101,342,365,825.64
  5. Step 5: Solve for x
    x = 101,342,365,825.64/262,122.30
  6. Step 6: Final answer
    x = 386,622.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.