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Finding the Fourth Proportional to 406,962.92, 561,642.50 and 225,733.41

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Solution

The fourth proportional to 406,962.92, 561,642.50 and 225,733.41 is: 311,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962.92 : 561,642.50 = 225,733.41 : x
  2. Step 2: Convert to fraction form
    406,962.92/561,642.50 = 225,733.41/x
  3. Step 3: Cross multiply
    406,962.92x = 561,642.50 × 225,733.41
  4. Step 4: Simplify right side
    406,962.92x = 126,781,476,725.93
  5. Step 5: Solve for x
    x = 126,781,476,725.93/406,962.92
  6. Step 6: Final answer
    x = 311,530.78

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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.