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Finding the Fourth Proportional to 406,620.88, 561,138.12 and 225,335.80

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Solution

The fourth proportional to 406,620.88, 561,138.12 and 225,335.80 is: 310,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620.88 : 561,138.12 = 225,335.80 : x
  2. Step 2: Convert to fraction form
    406,620.88/561,138.12 = 225,335.80/x
  3. Step 3: Cross multiply
    406,620.88x = 561,138.12 × 225,335.80
  4. Step 4: Simplify right side
    406,620.88x = 126,444,507,180.70
  5. Step 5: Solve for x
    x = 126,444,507,180.70/406,620.88
  6. Step 6: Final answer
    x = 310,964.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.