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Finding the Fourth Proportional to 357,757.57, 493,705.82 and 196,609.16

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Solution

The fourth proportional to 357,757.57, 493,705.82 and 196,609.16 is: 271,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,757.57 : 493,705.82 = 196,609.16 : x
  2. Step 2: Convert to fraction form
    357,757.57/493,705.82 = 196,609.16/x
  3. Step 3: Cross multiply
    357,757.57x = 493,705.82 × 196,609.16
  4. Step 4: Simplify right side
    357,757.57x = 97,067,086,311.55
  5. Step 5: Solve for x
    x = 97,067,086,311.55/357,757.57
  6. Step 6: Final answer
    x = 271,320.84

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1.5x scale

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.