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Finding the Fourth Proportional to 410,678, 616,262.76 and 177,206

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Solution

The fourth proportional to 410,678, 616,262.76 and 177,206 is: 265,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,678 : 616,262.76 = 177,206 : x
  2. Step 2: Convert to fraction form
    410,678/616,262.76 = 177,206/x
  3. Step 3: Cross multiply
    410,678x = 616,262.76 × 177,206
  4. Step 4: Simplify right side
    410,678x = 109,205,458,648.56
  5. Step 5: Solve for x
    x = 109,205,458,648.56/410,678
  6. Step 6: Final answer
    x = 265,915.04

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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.