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Finding the Fourth Proportional to 406,657.62, 561,187.49 and 225,396.78

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Solution

The fourth proportional to 406,657.62, 561,187.49 and 225,396.78 is: 311,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657.62 : 561,187.49 = 225,396.78 : x
  2. Step 2: Convert to fraction form
    406,657.62/561,187.49 = 225,396.78/x
  3. Step 3: Cross multiply
    406,657.62x = 561,187.49 × 225,396.78
  4. Step 4: Simplify right side
    406,657.62x = 126,489,852,095.30
  5. Step 5: Solve for x
    x = 126,489,852,095.30/406,657.62
  6. Step 6: Final answer
    x = 311,047.54

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Why These Related Problems?

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