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Finding the Fourth Proportional to 408,396.76, 563,504.94 and 238,598.08

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Solution

The fourth proportional to 408,396.76, 563,504.94 and 238,598.08 is: 329,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,396.76 : 563,504.94 = 238,598.08 : x
  2. Step 2: Convert to fraction form
    408,396.76/563,504.94 = 238,598.08/x
  3. Step 3: Cross multiply
    408,396.76x = 563,504.94 × 238,598.08
  4. Step 4: Simplify right side
    408,396.76x = 134,451,196,754.52
  5. Step 5: Solve for x
    x = 134,451,196,754.52/408,396.76
  6. Step 6: Final answer
    x = 329,217.10

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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.