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Finding the Fourth Proportional to 399,770.20, 599,655.30 and 162,983.80

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Solution

The fourth proportional to 399,770.20, 599,655.30 and 162,983.80 is: 244,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,770.20 : 599,655.30 = 162,983.80 : x
  2. Step 2: Convert to fraction form
    399,770.20/599,655.30 = 162,983.80/x
  3. Step 3: Cross multiply
    399,770.20x = 599,655.30 × 162,983.80
  4. Step 4: Simplify right side
    399,770.20x = 97,734,099,484.14
  5. Step 5: Solve for x
    x = 97,734,099,484.14/399,770.20
  6. Step 6: Final answer
    x = 244,475.70

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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.