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Finding the Fourth Proportional to 321,238.90, 443,309.24 and 178,008.22

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Solution

The fourth proportional to 321,238.90, 443,309.24 and 178,008.22 is: 245,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,238.90 : 443,309.24 = 178,008.22 : x
  2. Step 2: Convert to fraction form
    321,238.90/443,309.24 = 178,008.22/x
  3. Step 3: Cross multiply
    321,238.90x = 443,309.24 × 178,008.22
  4. Step 4: Simplify right side
    321,238.90x = 78,912,688,721.95
  5. Step 5: Solve for x
    x = 78,912,688,721.95/321,238.90
  6. Step 6: Final answer
    x = 245,651.10

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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.