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Finding the Fourth Proportional to 216,704.58, 324,701.16 and 208,399.44

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Solution

The fourth proportional to 216,704.58, 324,701.16 and 208,399.44 is: 312,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,704.58 : 324,701.16 = 208,399.44 : x
  2. Step 2: Convert to fraction form
    216,704.58/324,701.16 = 208,399.44/x
  3. Step 3: Cross multiply
    216,704.58x = 324,701.16 × 208,399.44
  4. Step 4: Simplify right side
    216,704.58x = 67,667,539,911.35
  5. Step 5: Solve for x
    x = 67,667,539,911.35/216,704.58
  6. Step 6: Final answer
    x = 312,257.08

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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.