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Finding the Fourth Proportional to 354,086.60, 489,261.12 and 283,052.84

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Solution

The fourth proportional to 354,086.60, 489,261.12 and 283,052.84 is: 391,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,086.60 : 489,261.12 = 283,052.84 : x
  2. Step 2: Convert to fraction form
    354,086.60/489,261.12 = 283,052.84/x
  3. Step 3: Cross multiply
    354,086.60x = 489,261.12 × 283,052.84
  4. Step 4: Simplify right side
    354,086.60x = 138,486,749,517.58
  5. Step 5: Solve for x
    x = 138,486,749,517.58/354,086.60
  6. Step 6: Final answer
    x = 391,109.83

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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.