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Finding the Fourth Proportional to 323,572.50, 485,454.51 and 165,911.58

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Solution

The fourth proportional to 323,572.50, 485,454.51 and 165,911.58 is: 248,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,572.50 : 485,454.51 = 165,911.58 : x
  2. Step 2: Convert to fraction form
    323,572.50/485,454.51 = 165,911.58/x
  3. Step 3: Cross multiply
    323,572.50x = 485,454.51 × 165,911.58
  4. Step 4: Simplify right side
    323,572.50x = 80,542,524,772.23
  5. Step 5: Solve for x
    x = 80,542,524,772.23/323,572.50
  6. Step 6: Final answer
    x = 248,916.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.