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Finding the Fourth Proportional to 392,830.40, 589,245.60 and 143,609.60

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Solution

The fourth proportional to 392,830.40, 589,245.60 and 143,609.60 is: 215,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,830.40 : 589,245.60 = 143,609.60 : x
  2. Step 2: Convert to fraction form
    392,830.40/589,245.60 = 143,609.60/x
  3. Step 3: Cross multiply
    392,830.40x = 589,245.60 × 143,609.60
  4. Step 4: Simplify right side
    392,830.40x = 84,621,324,917.76
  5. Step 5: Solve for x
    x = 84,621,324,917.76/392,830.40
  6. Step 6: Final answer
    x = 215,414.40

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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.