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Finding the Fourth Proportional to 323,032.65, 484,648.26 and 165,371.82

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Solution

The fourth proportional to 323,032.65, 484,648.26 and 165,371.82 is: 248,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,032.65 : 484,648.26 = 165,371.82 : x
  2. Step 2: Convert to fraction form
    323,032.65/484,648.26 = 165,371.82/x
  3. Step 3: Cross multiply
    323,032.65x = 484,648.26 × 165,371.82
  4. Step 4: Simplify right side
    323,032.65x = 80,147,164,816.03
  5. Step 5: Solve for x
    x = 80,147,164,816.03/323,032.65
  6. Step 6: Final answer
    x = 248,108.56

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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.