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Finding the Fourth Proportional to 489,409.40, 733,941.30 and 173,876.60

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Solution

The fourth proportional to 489,409.40, 733,941.30 and 173,876.60 is: 260,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,409.40 : 733,941.30 = 173,876.60 : x
  2. Step 2: Convert to fraction form
    489,409.40/733,941.30 = 173,876.60/x
  3. Step 3: Cross multiply
    489,409.40x = 733,941.30 × 173,876.60
  4. Step 4: Simplify right side
    489,409.40x = 127,615,217,843.58
  5. Step 5: Solve for x
    x = 127,615,217,843.58/489,409.40
  6. Step 6: Final answer
    x = 260,753.51

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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.