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Finding the Fourth Proportional to 467,644.20, 701,581.50 and 135,253.80

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Solution

The fourth proportional to 467,644.20, 701,581.50 and 135,253.80 is: 202,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,644.20 : 701,581.50 = 135,253.80 : x
  2. Step 2: Convert to fraction form
    467,644.20/701,581.50 = 135,253.80/x
  3. Step 3: Cross multiply
    467,644.20x = 701,581.50 × 135,253.80
  4. Step 4: Simplify right side
    467,644.20x = 94,891,563,884.70
  5. Step 5: Solve for x
    x = 94,891,563,884.70/467,644.20
  6. Step 6: Final answer
    x = 202,914.02

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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.