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Finding the Fourth Proportional to 322,420.94, 482,893.90 and 154,059.62

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Solution

The fourth proportional to 322,420.94, 482,893.90 and 154,059.62 is: 230,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,420.94 : 482,893.90 = 154,059.62 : x
  2. Step 2: Convert to fraction form
    322,420.94/482,893.90 = 154,059.62/x
  3. Step 3: Cross multiply
    322,420.94x = 482,893.90 × 154,059.62
  4. Step 4: Simplify right side
    322,420.94x = 74,394,450,734.32
  5. Step 5: Solve for x
    x = 74,394,450,734.32/322,420.94
  6. Step 6: Final answer
    x = 230,737.03

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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.