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Finding the Fourth Proportional to 344,717.88, 475,516.32 and 206,861.10

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Solution

The fourth proportional to 344,717.88, 475,516.32 and 206,861.10 is: 285,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,717.88 : 475,516.32 = 206,861.10 : x
  2. Step 2: Convert to fraction form
    344,717.88/475,516.32 = 206,861.10/x
  3. Step 3: Cross multiply
    344,717.88x = 475,516.32 × 206,861.10
  4. Step 4: Simplify right side
    344,717.88x = 98,365,829,023.15
  5. Step 5: Solve for x
    x = 98,365,829,023.15/344,717.88
  6. Step 6: Final answer
    x = 285,351.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.