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Finding the Fourth Proportional to 295,838.40, 443,498.40 and 177,556.80

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Solution

The fourth proportional to 295,838.40, 443,498.40 and 177,556.80 is: 266,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,838.40 : 443,498.40 = 177,556.80 : x
  2. Step 2: Convert to fraction form
    295,838.40/443,498.40 = 177,556.80/x
  3. Step 3: Cross multiply
    295,838.40x = 443,498.40 × 177,556.80
  4. Step 4: Simplify right side
    295,838.40x = 78,746,156,709.12
  5. Step 5: Solve for x
    x = 78,746,156,709.12/295,838.40
  6. Step 6: Final answer
    x = 266,179.63

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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.