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Finding the Fourth Proportional to 510,786.38, 764,965.76 and 257,269.34

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Solution

The fourth proportional to 510,786.38, 764,965.76 and 257,269.34 is: 385,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,786.38 : 764,965.76 = 257,269.34 : x
  2. Step 2: Convert to fraction form
    510,786.38/764,965.76 = 257,269.34/x
  3. Step 3: Cross multiply
    510,786.38x = 764,965.76 × 257,269.34
  4. Step 4: Simplify right side
    510,786.38x = 196,802,236,823.87
  5. Step 5: Solve for x
    x = 196,802,236,823.87/510,786.38
  6. Step 6: Final answer
    x = 385,292.65

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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.