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Finding the Fourth Proportional to 406,961.82, 561,606.41 and 225,669.24

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Solution

The fourth proportional to 406,961.82, 561,606.41 and 225,669.24 is: 311,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,961.82 : 561,606.41 = 225,669.24 : x
  2. Step 2: Convert to fraction form
    406,961.82/561,606.41 = 225,669.24/x
  3. Step 3: Cross multiply
    406,961.82x = 561,606.41 × 225,669.24
  4. Step 4: Simplify right side
    406,961.82x = 126,737,292,288.00
  5. Step 5: Solve for x
    x = 126,737,292,288.00/406,961.82
  6. Step 6: Final answer
    x = 311,423.05

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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.