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Finding the Fourth Proportional to 357,996.96, 494,025.36 and 196,851.84

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Solution

The fourth proportional to 357,996.96, 494,025.36 and 196,851.84 is: 271,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,996.96 : 494,025.36 = 196,851.84 : x
  2. Step 2: Convert to fraction form
    357,996.96/494,025.36 = 196,851.84/x
  3. Step 3: Cross multiply
    357,996.96x = 494,025.36 × 196,851.84
  4. Step 4: Simplify right side
    357,996.96x = 97,249,801,122.66
  5. Step 5: Solve for x
    x = 97,249,801,122.66/357,996.96
  6. Step 6: Final answer
    x = 271,649.80

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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.