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Finding the Fourth Proportional to 489,193.80, 733,863.62 and 173,624.28

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Solution

The fourth proportional to 489,193.80, 733,863.62 and 173,624.28 is: 260,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,193.80 : 733,863.62 = 173,624.28 : x
  2. Step 2: Convert to fraction form
    489,193.80/733,863.62 = 173,624.28/x
  3. Step 3: Cross multiply
    489,193.80x = 733,863.62 × 173,624.28
  4. Step 4: Simplify right side
    489,193.80x = 127,416,542,640.69
  5. Step 5: Solve for x
    x = 127,416,542,640.69/489,193.80
  6. Step 6: Final answer
    x = 260,462.30

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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.