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Finding the Fourth Proportional to 311,574.34, 429,962.43 and 196,914.49

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Solution

The fourth proportional to 311,574.34, 429,962.43 and 196,914.49 is: 271,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,574.34 : 429,962.43 = 196,914.49 : x
  2. Step 2: Convert to fraction form
    311,574.34/429,962.43 = 196,914.49/x
  3. Step 3: Cross multiply
    311,574.34x = 429,962.43 × 196,914.49
  4. Step 4: Simplify right side
    311,574.34x = 84,665,832,622.61
  5. Step 5: Solve for x
    x = 84,665,832,622.61/311,574.34
  6. Step 6: Final answer
    x = 271,735.58

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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.