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Finding the Fourth Proportional to 354,409.54, 489,096.98 and 193,273.41

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Solution

The fourth proportional to 354,409.54, 489,096.98 and 193,273.41 is: 266,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,409.54 : 489,096.98 = 193,273.41 : x
  2. Step 2: Convert to fraction form
    354,409.54/489,096.98 = 193,273.41/x
  3. Step 3: Cross multiply
    354,409.54x = 489,096.98 × 193,273.41
  4. Step 4: Simplify right side
    354,409.54x = 94,529,441,145.30
  5. Step 5: Solve for x
    x = 94,529,441,145.30/354,409.54
  6. Step 6: Final answer
    x = 266,723.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.