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Finding the Fourth Proportional to 392,984.76, 589,419.63 and 193,251.45

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Solution

The fourth proportional to 392,984.76, 589,419.63 and 193,251.45 is: 289,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,984.76 : 589,419.63 = 193,251.45 : x
  2. Step 2: Convert to fraction form
    392,984.76/589,419.63 = 193,251.45/x
  3. Step 3: Cross multiply
    392,984.76x = 589,419.63 × 193,251.45
  4. Step 4: Simplify right side
    392,984.76x = 113,906,198,155.96
  5. Step 5: Solve for x
    x = 113,906,198,155.96/392,984.76
  6. Step 6: Final answer
    x = 289,848.89

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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.