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Finding the Fourth Proportional to 322,429.63, 482,906.80 and 154,068.30

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Solution

The fourth proportional to 322,429.63, 482,906.80 and 154,068.30 is: 230,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,429.63 : 482,906.80 = 154,068.30 : x
  2. Step 2: Convert to fraction form
    322,429.63/482,906.80 = 154,068.30/x
  3. Step 3: Cross multiply
    322,429.63x = 482,906.80 × 154,068.30
  4. Step 4: Simplify right side
    322,429.63x = 74,400,629,734.44
  5. Step 5: Solve for x
    x = 74,400,629,734.44/322,429.63
  6. Step 6: Final answer
    x = 230,749.98

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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.