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Finding the Fourth Proportional to 274,816.80, 412,225.20 and 264,319.20

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Solution

The fourth proportional to 274,816.80, 412,225.20 and 264,319.20 is: 396,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,816.80 : 412,225.20 = 264,319.20 : x
  2. Step 2: Convert to fraction form
    274,816.80/412,225.20 = 264,319.20/x
  3. Step 3: Cross multiply
    274,816.80x = 412,225.20 × 264,319.20
  4. Step 4: Simplify right side
    274,816.80x = 108,959,035,083.84
  5. Step 5: Solve for x
    x = 108,959,035,083.84/274,816.80
  6. Step 6: Final answer
    x = 396,478.80

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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.