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Finding the Fourth Proportional to 462,428.80, 693,698.78 and 162,847.46

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Solution

The fourth proportional to 462,428.80, 693,698.78 and 162,847.46 is: 244,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,428.80 : 693,698.78 = 162,847.46 : x
  2. Step 2: Convert to fraction form
    462,428.80/693,698.78 = 162,847.46/x
  3. Step 3: Cross multiply
    462,428.80x = 693,698.78 × 162,847.46
  4. Step 4: Simplify right side
    462,428.80x = 112,967,086,469.46
  5. Step 5: Solve for x
    x = 112,967,086,469.46/462,428.80
  6. Step 6: Final answer
    x = 244,290.77

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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.