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Finding the Fourth Proportional to 337,633.81, 465,833.50 and 194,390.17

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Solution

The fourth proportional to 337,633.81, 465,833.50 and 194,390.17 is: 268,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,633.81 : 465,833.50 = 194,390.17 : x
  2. Step 2: Convert to fraction form
    337,633.81/465,833.50 = 194,390.17/x
  3. Step 3: Cross multiply
    337,633.81x = 465,833.50 × 194,390.17
  4. Step 4: Simplify right side
    337,633.81x = 90,553,453,256.70
  5. Step 5: Solve for x
    x = 90,553,453,256.70/337,633.81
  6. Step 6: Final answer
    x = 268,200.19

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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.