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Finding the Fourth Proportional to 361,137.40, 541,706.10 and 271,907.80

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Solution

The fourth proportional to 361,137.40, 541,706.10 and 271,907.80 is: 407,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,137.40 : 541,706.10 = 271,907.80 : x
  2. Step 2: Convert to fraction form
    361,137.40/541,706.10 = 271,907.80/x
  3. Step 3: Cross multiply
    361,137.40x = 541,706.10 × 271,907.80
  4. Step 4: Simplify right side
    361,137.40x = 147,294,113,897.58
  5. Step 5: Solve for x
    x = 147,294,113,897.58/361,137.40
  6. Step 6: Final answer
    x = 407,861.70

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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.