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Finding the Fourth Proportional to 274,512.92, 411,840.36 and 160,756.80

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Solution

The fourth proportional to 274,512.92, 411,840.36 and 160,756.80 is: 241,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,512.92 : 411,840.36 = 160,756.80 : x
  2. Step 2: Convert to fraction form
    274,512.92/411,840.36 = 160,756.80/x
  3. Step 3: Cross multiply
    274,512.92x = 411,840.36 × 160,756.80
  4. Step 4: Simplify right side
    274,512.92x = 66,206,138,384.45
  5. Step 5: Solve for x
    x = 66,206,138,384.45/274,512.92
  6. Step 6: Final answer
    x = 241,176.77

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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.