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Finding the Fourth Proportional to 321,177.78, 443,206.17 and 177,927.48

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Solution

The fourth proportional to 321,177.78, 443,206.17 and 177,927.48 is: 245,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,177.78 : 443,206.17 = 177,927.48 : x
  2. Step 2: Convert to fraction form
    321,177.78/443,206.17 = 177,927.48/x
  3. Step 3: Cross multiply
    321,177.78x = 443,206.17 × 177,927.48
  4. Step 4: Simplify right side
    321,177.78x = 78,858,556,948.55
  5. Step 5: Solve for x
    x = 78,858,556,948.55/321,177.78
  6. Step 6: Final answer
    x = 245,529.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.