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Finding the Fourth Proportional to 406,725.39, 561,314.66 and 225,494.17

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Solution

The fourth proportional to 406,725.39, 561,314.66 and 225,494.17 is: 311,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,725.39 : 561,314.66 = 225,494.17 : x
  2. Step 2: Convert to fraction form
    406,725.39/561,314.66 = 225,494.17/x
  3. Step 3: Cross multiply
    406,725.39x = 561,314.66 × 225,494.17
  4. Step 4: Simplify right side
    406,725.39x = 126,573,180,834.78
  5. Step 5: Solve for x
    x = 126,573,180,834.78/406,725.39
  6. Step 6: Final answer
    x = 311,200.59

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