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Finding the Fourth Proportional to 354,406.54, 489,092.84 and 193,270.41

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Solution

The fourth proportional to 354,406.54, 489,092.84 and 193,270.41 is: 266,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,406.54 : 489,092.84 = 193,270.41 : x
  2. Step 2: Convert to fraction form
    354,406.54/489,092.84 = 193,270.41/x
  3. Step 3: Cross multiply
    354,406.54x = 489,092.84 × 193,270.41
  4. Step 4: Simplify right side
    354,406.54x = 94,527,173,714.86
  5. Step 5: Solve for x
    x = 94,527,173,714.86/354,406.54
  6. Step 6: Final answer
    x = 266,719.61

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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.