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Finding the Fourth Proportional to 337,633.31, 465,832.81 and 194,389.67

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Solution

The fourth proportional to 337,633.31, 465,832.81 and 194,389.67 is: 268,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,633.31 : 465,832.81 = 194,389.67 : x
  2. Step 2: Convert to fraction form
    337,633.31/465,832.81 = 194,389.67/x
  3. Step 3: Cross multiply
    337,633.31x = 465,832.81 × 194,389.67
  4. Step 4: Simplify right side
    337,633.31x = 90,553,086,211.07
  5. Step 5: Solve for x
    x = 90,553,086,211.07/337,633.31
  6. Step 6: Final answer
    x = 268,199.50

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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.