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Finding the Fourth Proportional to 408,181.05, 563,296.59 and 224,427.38

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Solution

The fourth proportional to 408,181.05, 563,296.59 and 224,427.38 is: 309,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,181.05 : 563,296.59 = 224,427.38 : x
  2. Step 2: Convert to fraction form
    408,181.05/563,296.59 = 224,427.38/x
  3. Step 3: Cross multiply
    408,181.05x = 563,296.59 × 224,427.38
  4. Step 4: Simplify right side
    408,181.05x = 126,419,176,734.50
  5. Step 5: Solve for x
    x = 126,419,176,734.50/408,181.05
  6. Step 6: Final answer
    x = 309,713.49

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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.