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Finding the Fourth Proportional to 406,054.20, 609,081.30 and 181,327.80

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Solution

The fourth proportional to 406,054.20, 609,081.30 and 181,327.80 is: 271,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,054.20 : 609,081.30 = 181,327.80 : x
  2. Step 2: Convert to fraction form
    406,054.20/609,081.30 = 181,327.80/x
  3. Step 3: Cross multiply
    406,054.20x = 609,081.30 × 181,327.80
  4. Step 4: Simplify right side
    406,054.20x = 110,443,372,150.14
  5. Step 5: Solve for x
    x = 110,443,372,150.14/406,054.20
  6. Step 6: Final answer
    x = 271,991.70

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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.