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Finding the Fourth Proportional to 357,389.28, 493,198.56 and 194,046.03

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Solution

The fourth proportional to 357,389.28, 493,198.56 and 194,046.03 is: 267,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,389.28 : 493,198.56 = 194,046.03 : x
  2. Step 2: Convert to fraction form
    357,389.28/493,198.56 = 194,046.03/x
  3. Step 3: Cross multiply
    357,389.28x = 493,198.56 × 194,046.03
  4. Step 4: Simplify right side
    357,389.28x = 95,703,222,569.72
  5. Step 5: Solve for x
    x = 95,703,222,569.72/357,389.28
  6. Step 6: Final answer
    x = 267,784.26

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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.