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Finding the Fourth Proportional to 399,091.20, 598,636.80 and 328,232.40

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Solution

The fourth proportional to 399,091.20, 598,636.80 and 328,232.40 is: 492,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,091.20 : 598,636.80 = 328,232.40 : x
  2. Step 2: Convert to fraction form
    399,091.20/598,636.80 = 328,232.40/x
  3. Step 3: Cross multiply
    399,091.20x = 598,636.80 × 328,232.40
  4. Step 4: Simplify right side
    399,091.20x = 196,491,993,592.32
  5. Step 5: Solve for x
    x = 196,491,993,592.32/399,091.20
  6. Step 6: Final answer
    x = 492,348.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.