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Finding the Fourth Proportional to 354,610.60, 489,361.86 and 193,465.80

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Solution

The fourth proportional to 354,610.60, 489,361.86 and 193,465.80 is: 266,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,610.60 : 489,361.86 = 193,465.80 : x
  2. Step 2: Convert to fraction form
    354,610.60/489,361.86 = 193,465.80/x
  3. Step 3: Cross multiply
    354,610.60x = 489,361.86 × 193,465.80
  4. Step 4: Simplify right side
    354,610.60x = 94,674,783,734.39
  5. Step 5: Solve for x
    x = 94,674,783,734.39/354,610.60
  6. Step 6: Final answer
    x = 266,982.39

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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.