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Finding the Fourth Proportional to 396,713.64, 547,457.20 and 224,618.64

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Solution

The fourth proportional to 396,713.64, 547,457.20 and 224,618.64 is: 309,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,713.64 : 547,457.20 = 224,618.64 : x
  2. Step 2: Convert to fraction form
    396,713.64/547,457.20 = 224,618.64/x
  3. Step 3: Cross multiply
    396,713.64x = 547,457.20 × 224,618.64
  4. Step 4: Simplify right side
    396,713.64x = 122,969,091,722.21
  5. Step 5: Solve for x
    x = 122,969,091,722.21/396,713.64
  6. Step 6: Final answer
    x = 309,969.41

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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.