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Finding the Fourth Proportional to 275,518.44, 412,883.35 and 156,944.77

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Solution

The fourth proportional to 275,518.44, 412,883.35 and 156,944.77 is: 235,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,518.44 : 412,883.35 = 156,944.77 : x
  2. Step 2: Convert to fraction form
    275,518.44/412,883.35 = 156,944.77/x
  3. Step 3: Cross multiply
    275,518.44x = 412,883.35 × 156,944.77
  4. Step 4: Simplify right side
    275,518.44x = 64,799,880,978.01
  5. Step 5: Solve for x
    x = 64,799,880,978.01/275,518.44
  6. Step 6: Final answer
    x = 235,192.54

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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.