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Finding the Fourth Proportional to 923,269, 1,385,083.05 and 354,608.50

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Solution

The fourth proportional to 923,269, 1,385,083.05 and 354,608.50 is: 531,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,269 : 1,385,083.05 = 354,608.50 : x
  2. Step 2: Convert to fraction form
    923,269/1,385,083.05 = 354,608.50/x
  3. Step 3: Cross multiply
    923,269x = 1,385,083.05 × 354,608.50
  4. Step 4: Simplify right side
    923,269x = 491,162,222,735.93
  5. Step 5: Solve for x
    x = 491,162,222,735.93/923,269
  6. Step 6: Final answer
    x = 531,981.71

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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.