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Finding the Fourth Proportional to 295,711.20, 443,566.80 and 177,321.60

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Solution

The fourth proportional to 295,711.20, 443,566.80 and 177,321.60 is: 265,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,711.20 : 443,566.80 = 177,321.60 : x
  2. Step 2: Convert to fraction form
    295,711.20/443,566.80 = 177,321.60/x
  3. Step 3: Cross multiply
    295,711.20x = 443,566.80 × 177,321.60
  4. Step 4: Simplify right side
    295,711.20x = 78,653,974,682.88
  5. Step 5: Solve for x
    x = 78,653,974,682.88/295,711.20
  6. Step 6: Final answer
    x = 265,982.40

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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.