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Finding the Fourth Proportional to 410,664, 616,241.76 and 177,192

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Solution

The fourth proportional to 410,664, 616,241.76 and 177,192 is: 265,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,664 : 616,241.76 = 177,192 : x
  2. Step 2: Convert to fraction form
    410,664/616,241.76 = 177,192/x
  3. Step 3: Cross multiply
    410,664x = 616,241.76 × 177,192
  4. Step 4: Simplify right side
    410,664x = 109,193,109,937.92
  5. Step 5: Solve for x
    x = 109,193,109,937.92/410,664
  6. Step 6: Final answer
    x = 265,894.04

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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.