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Finding the Fourth Proportional to 383,204, 528,837.68 and 213,438.08

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Solution

The fourth proportional to 383,204, 528,837.68 and 213,438.08 is: 294,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,204 : 528,837.68 = 213,438.08 : x
  2. Step 2: Convert to fraction form
    383,204/528,837.68 = 213,438.08/x
  3. Step 3: Cross multiply
    383,204x = 528,837.68 × 213,438.08
  4. Step 4: Simplify right side
    383,204x = 112,874,099,050.85
  5. Step 5: Solve for x
    x = 112,874,099,050.85/383,204
  6. Step 6: Final answer
    x = 294,553.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.