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Finding the Fourth Proportional to 408,181.53, 563,297.27 and 224,427.88

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Solution

The fourth proportional to 408,181.53, 563,297.27 and 224,427.88 is: 309,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,181.53 : 563,297.27 = 224,427.88 : x
  2. Step 2: Convert to fraction form
    408,181.53/563,297.27 = 224,427.88/x
  3. Step 3: Cross multiply
    408,181.53x = 563,297.27 × 224,427.88
  4. Step 4: Simplify right side
    408,181.53x = 126,419,612,115.89
  5. Step 5: Solve for x
    x = 126,419,612,115.89/408,181.53
  6. Step 6: Final answer
    x = 309,714.19

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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.