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Finding the Fourth Proportional to 296,196.60, 443,711.70 and 177,515.40

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Solution

The fourth proportional to 296,196.60, 443,711.70 and 177,515.40 is: 265,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,196.60 : 443,711.70 = 177,515.40 : x
  2. Step 2: Convert to fraction form
    296,196.60/443,711.70 = 177,515.40/x
  3. Step 3: Cross multiply
    296,196.60x = 443,711.70 × 177,515.40
  4. Step 4: Simplify right side
    296,196.60x = 78,765,659,910.18
  5. Step 5: Solve for x
    x = 78,765,659,910.18/296,196.60
  6. Step 6: Final answer
    x = 265,923.58

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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.