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Finding the Fourth Proportional to 357,998.58, 494,024.76 and 196,844.04

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Solution

The fourth proportional to 357,998.58, 494,024.76 and 196,844.04 is: 271,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,998.58 : 494,024.76 = 196,844.04 : x
  2. Step 2: Convert to fraction form
    357,998.58/494,024.76 = 196,844.04/x
  3. Step 3: Cross multiply
    357,998.58x = 494,024.76 × 196,844.04
  4. Step 4: Simplify right side
    357,998.58x = 97,245,829,618.43
  5. Step 5: Solve for x
    x = 97,245,829,618.43/357,998.58
  6. Step 6: Final answer
    x = 271,637.47

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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.