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Finding the Fourth Proportional to 393,017.92, 589,469.46 and 193,284.70

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Solution

The fourth proportional to 393,017.92, 589,469.46 and 193,284.70 is: 289,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,017.92 : 589,469.46 = 193,284.70 : x
  2. Step 2: Convert to fraction form
    393,017.92/589,469.46 = 193,284.70/x
  3. Step 3: Cross multiply
    393,017.92x = 589,469.46 × 193,284.70
  4. Step 4: Simplify right side
    393,017.92x = 113,935,427,735.26
  5. Step 5: Solve for x
    x = 113,935,427,735.26/393,017.92
  6. Step 6: Final answer
    x = 289,898.81

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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.