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Finding the Fourth Proportional to 398,299.20, 595,720.80 and 356,481.60

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Solution

The fourth proportional to 398,299.20, 595,720.80 and 356,481.60 is: 533,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,299.20 : 595,720.80 = 356,481.60 : x
  2. Step 2: Convert to fraction form
    398,299.20/595,720.80 = 356,481.60/x
  3. Step 3: Cross multiply
    398,299.20x = 595,720.80 × 356,481.60
  4. Step 4: Simplify right side
    398,299.20x = 212,363,503,937.28
  5. Step 5: Solve for x
    x = 212,363,503,937.28/398,299.20
  6. Step 6: Final answer
    x = 533,175.82

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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.