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Finding the Fourth Proportional to 357,981.68, 494,016.55 and 196,847.17

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Solution

The fourth proportional to 357,981.68, 494,016.55 and 196,847.17 is: 271,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,981.68 : 494,016.55 = 196,847.17 : x
  2. Step 2: Convert to fraction form
    357,981.68/494,016.55 = 196,847.17/x
  3. Step 3: Cross multiply
    357,981.68x = 494,016.55 × 196,847.17
  4. Step 4: Simplify right side
    357,981.68x = 97,245,758,073.50
  5. Step 5: Solve for x
    x = 97,245,758,073.50/357,981.68
  6. Step 6: Final answer
    x = 271,650.10

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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.