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Finding the Fourth Proportional to 357,548.70, 493,387.82 and 196,395.42

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Solution

The fourth proportional to 357,548.70, 493,387.82 and 196,395.42 is: 271,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,548.70 : 493,387.82 = 196,395.42 : x
  2. Step 2: Convert to fraction form
    357,548.70/493,387.82 = 196,395.42/x
  3. Step 3: Cross multiply
    357,548.70x = 493,387.82 × 196,395.42
  4. Step 4: Simplify right side
    357,548.70x = 96,899,108,131.78
  5. Step 5: Solve for x
    x = 96,899,108,131.78/357,548.70
  6. Step 6: Final answer
    x = 271,009.54

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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.