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Finding the Fourth Proportional to 392,271.60, 588,115.80 and 214,978.80

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Solution

The fourth proportional to 392,271.60, 588,115.80 and 214,978.80 is: 322,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,271.60 : 588,115.80 = 214,978.80 : x
  2. Step 2: Convert to fraction form
    392,271.60/588,115.80 = 214,978.80/x
  3. Step 3: Cross multiply
    392,271.60x = 588,115.80 × 214,978.80
  4. Step 4: Simplify right side
    392,271.60x = 126,432,428,945.04
  5. Step 5: Solve for x
    x = 126,432,428,945.04/392,271.60
  6. Step 6: Final answer
    x = 322,308.39

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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.