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Finding the Fourth Proportional to 337,687.58, 465,864.41 and 194,417.21

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Solution

The fourth proportional to 337,687.58, 465,864.41 and 194,417.21 is: 268,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,687.58 : 465,864.41 = 194,417.21 : x
  2. Step 2: Convert to fraction form
    337,687.58/465,864.41 = 194,417.21/x
  3. Step 3: Cross multiply
    337,687.58x = 465,864.41 × 194,417.21
  4. Step 4: Simplify right side
    337,687.58x = 90,572,060,481.20
  5. Step 5: Solve for x
    x = 90,572,060,481.20/337,687.58
  6. Step 6: Final answer
    x = 268,212.59

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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.