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Finding the Fourth Proportional to 408,080.56, 563,137.68 and 224,319.76

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Solution

The fourth proportional to 408,080.56, 563,137.68 and 224,319.76 is: 309,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,080.56 : 563,137.68 = 224,319.76 : x
  2. Step 2: Convert to fraction form
    408,080.56/563,137.68 = 224,319.76/x
  3. Step 3: Cross multiply
    408,080.56x = 563,137.68 × 224,319.76
  4. Step 4: Simplify right side
    408,080.56x = 126,322,909,224.56
  5. Step 5: Solve for x
    x = 126,322,909,224.56/408,080.56
  6. Step 6: Final answer
    x = 309,553.85

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1.5x scale

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.