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Finding the Fourth Proportional to 382,940.21, 574,431.92 and 116,709.41

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Solution

The fourth proportional to 382,940.21, 574,431.92 and 116,709.41 is: 175,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,940.21 : 574,431.92 = 116,709.41 : x
  2. Step 2: Convert to fraction form
    382,940.21/574,431.92 = 116,709.41/x
  3. Step 3: Cross multiply
    382,940.21x = 574,431.92 × 116,709.41
  4. Step 4: Simplify right side
    382,940.21x = 67,041,611,758.56
  5. Step 5: Solve for x
    x = 67,041,611,758.56/382,940.21
  6. Step 6: Final answer
    x = 175,070.70

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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.