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Finding the Fourth Proportional to 406,993.25, 561,650.69 and 225,732.94

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Solution

The fourth proportional to 406,993.25, 561,650.69 and 225,732.94 is: 311,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,993.25 : 561,650.69 = 225,732.94 : x
  2. Step 2: Convert to fraction form
    406,993.25/561,650.69 = 225,732.94/x
  3. Step 3: Cross multiply
    406,993.25x = 561,650.69 × 225,732.94
  4. Step 4: Simplify right side
    406,993.25x = 126,783,061,506.73
  5. Step 5: Solve for x
    x = 126,783,061,506.73/406,993.25
  6. Step 6: Final answer
    x = 311,511.46

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1.5x scale

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.