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Finding the Fourth Proportional to 410,675, 616,258.26 and 177,203

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Solution

The fourth proportional to 410,675, 616,258.26 and 177,203 is: 265,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,675 : 616,258.26 = 177,203 : x
  2. Step 2: Convert to fraction form
    410,675/616,258.26 = 177,203/x
  3. Step 3: Cross multiply
    410,675x = 616,258.26 × 177,203
  4. Step 4: Simplify right side
    410,675x = 109,202,812,446.78
  5. Step 5: Solve for x
    x = 109,202,812,446.78/410,675
  6. Step 6: Final answer
    x = 265,910.54

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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.