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Finding the Fourth Proportional to 493,735.50, 740,121.30 and 241,005.78

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Solution

The fourth proportional to 493,735.50, 740,121.30 and 241,005.78 is: 361,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,735.50 : 740,121.30 = 241,005.78 : x
  2. Step 2: Convert to fraction form
    493,735.50/740,121.30 = 241,005.78/x
  3. Step 3: Cross multiply
    493,735.50x = 740,121.30 × 241,005.78
  4. Step 4: Simplify right side
    493,735.50x = 178,373,511,201.11
  5. Step 5: Solve for x
    x = 178,373,511,201.11/493,735.50
  6. Step 6: Final answer
    x = 361,273.42

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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.