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Finding the Fourth Proportional to 406,828.44, 561,456.40 and 225,597.20

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Solution

The fourth proportional to 406,828.44, 561,456.40 and 225,597.20 is: 311,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,828.44 : 561,456.40 = 225,597.20 : x
  2. Step 2: Convert to fraction form
    406,828.44/561,456.40 = 225,597.20/x
  3. Step 3: Cross multiply
    406,828.44x = 561,456.40 × 225,597.20
  4. Step 4: Simplify right side
    406,828.44x = 126,662,991,762.08
  5. Step 5: Solve for x
    x = 126,662,991,762.08/406,828.44
  6. Step 6: Final answer
    x = 311,342.52

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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.