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Finding the Fourth Proportional to 408,396.98, 563,505.24 and 238,598.30

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Solution

The fourth proportional to 408,396.98, 563,505.24 and 238,598.30 is: 329,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,396.98 : 563,505.24 = 238,598.30 : x
  2. Step 2: Convert to fraction form
    408,396.98/563,505.24 = 238,598.30/x
  3. Step 3: Cross multiply
    408,396.98x = 563,505.24 × 238,598.30
  4. Step 4: Simplify right side
    408,396.98x = 134,451,392,305.09
  5. Step 5: Solve for x
    x = 134,451,392,305.09/408,396.98
  6. Step 6: Final answer
    x = 329,217.40

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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.