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Finding the Fourth Proportional to 406,738.96, 561,333.36 and 225,507.73

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Solution

The fourth proportional to 406,738.96, 561,333.36 and 225,507.73 is: 311,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,738.96 : 561,333.36 = 225,507.73 : x
  2. Step 2: Convert to fraction form
    406,738.96/561,333.36 = 225,507.73/x
  3. Step 3: Cross multiply
    406,738.96x = 561,333.36 × 225,507.73
  4. Step 4: Simplify right side
    406,738.96x = 126,585,011,786.87
  5. Step 5: Solve for x
    x = 126,585,011,786.87/406,738.96
  6. Step 6: Final answer
    x = 311,219.29

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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.