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Finding the Fourth Proportional to 361,134.40, 541,701.60 and 271,904.80

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Solution

The fourth proportional to 361,134.40, 541,701.60 and 271,904.80 is: 407,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,134.40 : 541,701.60 = 271,904.80 : x
  2. Step 2: Convert to fraction form
    361,134.40/541,701.60 = 271,904.80/x
  3. Step 3: Cross multiply
    361,134.40x = 541,701.60 × 271,904.80
  4. Step 4: Simplify right side
    361,134.40x = 147,291,265,207.68
  5. Step 5: Solve for x
    x = 147,291,265,207.68/361,134.40
  6. Step 6: Final answer
    x = 407,857.20

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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.