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Finding the Fourth Proportional to 290,946.60, 436,614.30 and 133,093.80

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Solution

The fourth proportional to 290,946.60, 436,614.30 and 133,093.80 is: 199,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,946.60 : 436,614.30 = 133,093.80 : x
  2. Step 2: Convert to fraction form
    290,946.60/436,614.30 = 133,093.80/x
  3. Step 3: Cross multiply
    290,946.60x = 436,614.30 × 133,093.80
  4. Step 4: Simplify right side
    290,946.60x = 58,110,656,321.34
  5. Step 5: Solve for x
    x = 58,110,656,321.34/290,946.60
  6. Step 6: Final answer
    x = 199,729.63

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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.