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Finding the Fourth Proportional to 392,214.80, 587,544.60 and 214,403.60

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Solution

The fourth proportional to 392,214.80, 587,544.60 and 214,403.60 is: 321,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,214.80 : 587,544.60 = 214,403.60 : x
  2. Step 2: Convert to fraction form
    392,214.80/587,544.60 = 214,403.60/x
  3. Step 3: Cross multiply
    392,214.80x = 587,544.60 × 214,403.60
  4. Step 4: Simplify right side
    392,214.80x = 125,971,677,400.56
  5. Step 5: Solve for x
    x = 125,971,677,400.56/392,214.80
  6. Step 6: Final answer
    x = 321,180.33

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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.