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Finding the Fourth Proportional to 357,985.44, 494,021.73 and 196,850.93

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Solution

The fourth proportional to 357,985.44, 494,021.73 and 196,850.93 is: 271,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,985.44 : 494,021.73 = 196,850.93 : x
  2. Step 2: Convert to fraction form
    357,985.44/494,021.73 = 196,850.93/x
  3. Step 3: Cross multiply
    357,985.44x = 494,021.73 × 196,850.93
  4. Step 4: Simplify right side
    357,985.44x = 97,248,634,520.60
  5. Step 5: Solve for x
    x = 97,248,634,520.60/357,985.44
  6. Step 6: Final answer
    x = 271,655.28

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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.