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Finding the Fourth Proportional to 429,424.20, 644,136.30 and 271,830.60

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Solution

The fourth proportional to 429,424.20, 644,136.30 and 271,830.60 is: 407,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,424.20 : 644,136.30 = 271,830.60 : x
  2. Step 2: Convert to fraction form
    429,424.20/644,136.30 = 271,830.60/x
  3. Step 3: Cross multiply
    429,424.20x = 644,136.30 × 271,830.60
  4. Step 4: Simplify right side
    429,424.20x = 175,095,956,910.78
  5. Step 5: Solve for x
    x = 175,095,956,910.78/429,424.20
  6. Step 6: Final answer
    x = 407,745.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.