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Finding the Fourth Proportional to 274,927.20, 412,390.80 and 164,335.20

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Solution

The fourth proportional to 274,927.20, 412,390.80 and 164,335.20 is: 246,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,927.20 : 412,390.80 = 164,335.20 : x
  2. Step 2: Convert to fraction form
    274,927.20/412,390.80 = 164,335.20/x
  3. Step 3: Cross multiply
    274,927.20x = 412,390.80 × 164,335.20
  4. Step 4: Simplify right side
    274,927.20x = 67,770,324,596.16
  5. Step 5: Solve for x
    x = 67,770,324,596.16/274,927.20
  6. Step 6: Final answer
    x = 246,502.80

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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.