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Finding the Fourth Proportional to 399,959.64, 600,234.22 and 189,596.76

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Solution

The fourth proportional to 399,959.64, 600,234.22 and 189,596.76 is: 284,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,959.64 : 600,234.22 = 189,596.76 : x
  2. Step 2: Convert to fraction form
    399,959.64/600,234.22 = 189,596.76/x
  3. Step 3: Cross multiply
    399,959.64x = 600,234.22 × 189,596.76
  4. Step 4: Simplify right side
    399,959.64x = 113,802,463,353.13
  5. Step 5: Solve for x
    x = 113,802,463,353.13/399,959.64
  6. Step 6: Final answer
    x = 284,534.87

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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.