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Finding the Fourth Proportional to 399,857.32, 599,669.34 and 189,438.76

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Solution

The fourth proportional to 399,857.32, 599,669.34 and 189,438.76 is: 284,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,857.32 : 599,669.34 = 189,438.76 : x
  2. Step 2: Convert to fraction form
    399,857.32/599,669.34 = 189,438.76/x
  3. Step 3: Cross multiply
    399,857.32x = 599,669.34 × 189,438.76
  4. Step 4: Simplify right side
    399,857.32x = 113,600,616,179.62
  5. Step 5: Solve for x
    x = 113,600,616,179.62/399,857.32
  6. Step 6: Final answer
    x = 284,102.88

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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.