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Finding the Fourth Proportional to 513,007.70, 769,511.55 and 276,811.70

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Solution

The fourth proportional to 513,007.70, 769,511.55 and 276,811.70 is: 415,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,007.70 : 769,511.55 = 276,811.70 : x
  2. Step 2: Convert to fraction form
    513,007.70/769,511.55 = 276,811.70/x
  3. Step 3: Cross multiply
    513,007.70x = 769,511.55 × 276,811.70
  4. Step 4: Simplify right side
    513,007.70x = 213,009,800,325.14
  5. Step 5: Solve for x
    x = 213,009,800,325.14/513,007.70
  6. Step 6: Final answer
    x = 415,217.55

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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.