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Finding the Fourth Proportional to 489,279.60, 733,044.60 and 414,046.80

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Solution

The fourth proportional to 489,279.60, 733,044.60 and 414,046.80 is: 620,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,279.60 : 733,044.60 = 414,046.80 : x
  2. Step 2: Convert to fraction form
    489,279.60/733,044.60 = 414,046.80/x
  3. Step 3: Cross multiply
    489,279.60x = 733,044.60 × 414,046.80
  4. Step 4: Simplify right side
    489,279.60x = 303,514,770,887.28
  5. Step 5: Solve for x
    x = 303,514,770,887.28/489,279.60
  6. Step 6: Final answer
    x = 620,329.91

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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.