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Finding the Fourth Proportional to 357,813, 493,793.22 and 196,680.48

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Solution

The fourth proportional to 357,813, 493,793.22 and 196,680.48 is: 271,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,813 : 493,793.22 = 196,680.48 : x
  2. Step 2: Convert to fraction form
    357,813/493,793.22 = 196,680.48/x
  3. Step 3: Cross multiply
    357,813x = 493,793.22 × 196,680.48
  4. Step 4: Simplify right side
    357,813x = 97,119,487,530.35
  5. Step 5: Solve for x
    x = 97,119,487,530.35/357,813
  6. Step 6: Final answer
    x = 271,425.26

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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.