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Finding the Fourth Proportional to 1,235,208.24, 1,689,022.44 and 1,235,208.24

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Solution

The fourth proportional to 1,235,208.24, 1,689,022.44 and 1,235,208.24 is: 1,689,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,208.24 : 1,689,022.44 = 1,235,208.24 : x
  2. Step 2: Convert to fraction form
    1,235,208.24/1,689,022.44 = 1,235,208.24/x
  3. Step 3: Cross multiply
    1,235,208.24x = 1,689,022.44 × 1,235,208.24
  4. Step 4: Simplify right side
    1,235,208.24x = 2,086,294,435,432.91
  5. Step 5: Solve for x
    x = 2,086,294,435,432.91/1,235,208.24
  6. Step 6: Final answer
    x = 1,689,022.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.