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Finding the Fourth Proportional to 337,289.76, 465,420.24 and 186,377.76

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Solution

The fourth proportional to 337,289.76, 465,420.24 and 186,377.76 is: 257,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,289.76 : 465,420.24 = 186,377.76 : x
  2. Step 2: Convert to fraction form
    337,289.76/465,420.24 = 186,377.76/x
  3. Step 3: Cross multiply
    337,289.76x = 465,420.24 × 186,377.76
  4. Step 4: Simplify right side
    337,289.76x = 86,743,981,789.86
  5. Step 5: Solve for x
    x = 86,743,981,789.86/337,289.76
  6. Step 6: Final answer
    x = 257,179.41

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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.