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Finding the Fourth Proportional to 406,994.94, 561,671.22 and 225,694.74

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Solution

The fourth proportional to 406,994.94, 561,671.22 and 225,694.74 is: 311,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.94 : 561,671.22 = 225,694.74 : x
  2. Step 2: Convert to fraction form
    406,994.94/561,671.22 = 225,694.74/x
  3. Step 3: Cross multiply
    406,994.94x = 561,671.22 × 225,694.74
  4. Step 4: Simplify right side
    406,994.94x = 126,766,239,963.38
  5. Step 5: Solve for x
    x = 126,766,239,963.38/406,994.94
  6. Step 6: Final answer
    x = 311,468.84

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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.