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Finding the Fourth Proportional to 406,827.44, 561,455.02 and 225,596.20

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Solution

The fourth proportional to 406,827.44, 561,455.02 and 225,596.20 is: 311,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,827.44 : 561,455.02 = 225,596.20 : x
  2. Step 2: Convert to fraction form
    406,827.44/561,455.02 = 225,596.20/x
  3. Step 3: Cross multiply
    406,827.44x = 561,455.02 × 225,596.20
  4. Step 4: Simplify right side
    406,827.44x = 126,662,118,982.92
  5. Step 5: Solve for x
    x = 126,662,118,982.92/406,827.44
  6. Step 6: Final answer
    x = 311,341.14

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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.