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Finding the Fourth Proportional to 588,716.90, 883,207 and 214,739.90

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Solution

The fourth proportional to 588,716.90, 883,207 and 214,739.90 is: 322,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,716.90 : 883,207 = 214,739.90 : x
  2. Step 2: Convert to fraction form
    588,716.90/883,207 = 214,739.90/x
  3. Step 3: Cross multiply
    588,716.90x = 883,207 × 214,739.90
  4. Step 4: Simplify right side
    588,716.90x = 189,659,782,859.30
  5. Step 5: Solve for x
    x = 189,659,782,859.30/588,716.90
  6. Step 6: Final answer
    x = 322,157.87

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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.