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Finding the Fourth Proportional to 337,586.37, 465,926.47 and 194,429.29

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Solution

The fourth proportional to 337,586.37, 465,926.47 and 194,429.29 is: 268,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,586.37 : 465,926.47 = 194,429.29 : x
  2. Step 2: Convert to fraction form
    337,586.37/465,926.47 = 194,429.29/x
  3. Step 3: Cross multiply
    337,586.37x = 465,926.47 × 194,429.29
  4. Step 4: Simplify right side
    337,586.37x = 90,589,752,754.31
  5. Step 5: Solve for x
    x = 90,589,752,754.31/337,586.37
  6. Step 6: Final answer
    x = 268,345.41

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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.