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Finding the Fourth Proportional to 408,261.98, 563,403.72 and 224,512.39

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Solution

The fourth proportional to 408,261.98, 563,403.72 and 224,512.39 is: 309,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,261.98 : 563,403.72 = 224,512.39 : x
  2. Step 2: Convert to fraction form
    408,261.98/563,403.72 = 224,512.39/x
  3. Step 3: Cross multiply
    408,261.98x = 563,403.72 × 224,512.39
  4. Step 4: Simplify right side
    408,261.98x = 126,491,115,712.09
  5. Step 5: Solve for x
    x = 126,491,115,712.09/408,261.98
  6. Step 6: Final answer
    x = 309,828.30

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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.