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Finding the Fourth Proportional to 406,994.25, 561,652.08 and 225,733.95

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Solution

The fourth proportional to 406,994.25, 561,652.08 and 225,733.95 is: 311,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.25 : 561,652.08 = 225,733.95 : x
  2. Step 2: Convert to fraction form
    406,994.25/561,652.08 = 225,733.95/x
  3. Step 3: Cross multiply
    406,994.25x = 561,652.08 × 225,733.95
  4. Step 4: Simplify right side
    406,994.25x = 126,783,942,544.12
  5. Step 5: Solve for x
    x = 126,783,942,544.12/406,994.25
  6. Step 6: Final answer
    x = 311,512.86

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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.