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Finding the Fourth Proportional to 357,816.96, 493,791.17 and 194,473.44

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Solution

The fourth proportional to 357,816.96, 493,791.17 and 194,473.44 is: 268,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,816.96 : 493,791.17 = 194,473.44 : x
  2. Step 2: Convert to fraction form
    357,816.96/493,791.17 = 194,473.44/x
  3. Step 3: Cross multiply
    357,816.96x = 493,791.17 × 194,473.44
  4. Step 4: Simplify right side
    357,816.96x = 96,029,266,499.16
  5. Step 5: Solve for x
    x = 96,029,266,499.16/357,816.96
  6. Step 6: Final answer
    x = 268,375.39

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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.