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Finding the Fourth Proportional to 410,666, 616,244.76 and 177,194

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Solution

The fourth proportional to 410,666, 616,244.76 and 177,194 is: 265,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,666 : 616,244.76 = 177,194 : x
  2. Step 2: Convert to fraction form
    410,666/616,244.76 = 177,194/x
  3. Step 3: Cross multiply
    410,666x = 616,244.76 × 177,194
  4. Step 4: Simplify right side
    410,666x = 109,194,874,003.44
  5. Step 5: Solve for x
    x = 109,194,874,003.44/410,666
  6. Step 6: Final answer
    x = 265,897.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.