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Finding the Fourth Proportional to 825,823.70, 1,238,735.55 and 825,823.70

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Solution

The fourth proportional to 825,823.70, 1,238,735.55 and 825,823.70 is: 1,238,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,823.70 : 1,238,735.55 = 825,823.70 : x
  2. Step 2: Convert to fraction form
    825,823.70/1,238,735.55 = 825,823.70/x
  3. Step 3: Cross multiply
    825,823.70x = 1,238,735.55 × 825,823.70
  4. Step 4: Simplify right side
    825,823.70x = 1,022,977,175,222.54
  5. Step 5: Solve for x
    x = 1,022,977,175,222.54/825,823.70
  6. Step 6: Final answer
    x = 1,238,735.55

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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.