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Finding the Fourth Proportional to 550,468.81, 825,913.26 and 213,745.69

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Solution

The fourth proportional to 550,468.81, 825,913.26 and 213,745.69 is: 320,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,468.81 : 825,913.26 = 213,745.69 : x
  2. Step 2: Convert to fraction form
    550,468.81/825,913.26 = 213,745.69/x
  3. Step 3: Cross multiply
    550,468.81x = 825,913.26 × 213,745.69
  4. Step 4: Simplify right side
    550,468.81x = 176,535,396,025.48
  5. Step 5: Solve for x
    x = 176,535,396,025.48/550,468.81
  6. Step 6: Final answer
    x = 320,700.09

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Why These Related Problems?

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