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Finding the Fourth Proportional to 356,024.54, 491,314.60 and 194,889.90

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Solution

The fourth proportional to 356,024.54, 491,314.60 and 194,889.90 is: 268,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,024.54 : 491,314.60 = 194,889.90 : x
  2. Step 2: Convert to fraction form
    356,024.54/491,314.60 = 194,889.90/x
  3. Step 3: Cross multiply
    356,024.54x = 491,314.60 × 194,889.90
  4. Step 4: Simplify right side
    356,024.54x = 95,752,253,262.54
  5. Step 5: Solve for x
    x = 95,752,253,262.54/356,024.54
  6. Step 6: Final answer
    x = 268,948.46

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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.