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Finding the Fourth Proportional to 406,892.30, 561,508.61 and 225,604.31

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Solution

The fourth proportional to 406,892.30, 561,508.61 and 225,604.31 is: 311,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,892.30 : 561,508.61 = 225,604.31 : x
  2. Step 2: Convert to fraction form
    406,892.30/561,508.61 = 225,604.31/x
  3. Step 3: Cross multiply
    406,892.30x = 561,508.61 × 225,604.31
  4. Step 4: Simplify right side
    406,892.30x = 126,678,758,582.55
  5. Step 5: Solve for x
    x = 126,678,758,582.55/406,892.30
  6. Step 6: Final answer
    x = 311,332.41

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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.