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Finding the Fourth Proportional to 406,714.80, 610,072.20 and 327,982.80

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Solution

The fourth proportional to 406,714.80, 610,072.20 and 327,982.80 is: 491,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,714.80 : 610,072.20 = 327,982.80 : x
  2. Step 2: Convert to fraction form
    406,714.80/610,072.20 = 327,982.80/x
  3. Step 3: Cross multiply
    406,714.80x = 610,072.20 × 327,982.80
  4. Step 4: Simplify right side
    406,714.80x = 200,093,188,358.16
  5. Step 5: Solve for x
    x = 200,093,188,358.16/406,714.80
  6. Step 6: Final answer
    x = 491,974.20

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1.5x scale

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.