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Finding the Fourth Proportional to 382,438.08, 573,733.62 and 214,197.57

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Solution

The fourth proportional to 382,438.08, 573,733.62 and 214,197.57 is: 321,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,438.08 : 573,733.62 = 214,197.57 : x
  2. Step 2: Convert to fraction form
    382,438.08/573,733.62 = 214,197.57/x
  3. Step 3: Cross multiply
    382,438.08x = 573,733.62 × 214,197.57
  4. Step 4: Simplify right side
    382,438.08x = 122,892,347,231.30
  5. Step 5: Solve for x
    x = 122,892,347,231.30/382,438.08
  6. Step 6: Final answer
    x = 321,339.20

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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.