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Finding the Fourth Proportional to 357,891.38, 493,899.56 and 194,558.87

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Solution

The fourth proportional to 357,891.38, 493,899.56 and 194,558.87 is: 268,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,891.38 : 493,899.56 = 194,558.87 : x
  2. Step 2: Convert to fraction form
    357,891.38/493,899.56 = 194,558.87/x
  3. Step 3: Cross multiply
    357,891.38x = 493,899.56 × 194,558.87
  4. Step 4: Simplify right side
    357,891.38x = 96,092,540,287.10
  5. Step 5: Solve for x
    x = 96,092,540,287.10/357,891.38
  6. Step 6: Final answer
    x = 268,496.38

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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.