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Finding the Fourth Proportional to 321,149.91, 443,151.10 and 177,874.08

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Solution

The fourth proportional to 321,149.91, 443,151.10 and 177,874.08 is: 245,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,149.91 : 443,151.10 = 177,874.08 : x
  2. Step 2: Convert to fraction form
    321,149.91/443,151.10 = 177,874.08/x
  3. Step 3: Cross multiply
    321,149.91x = 443,151.10 × 177,874.08
  4. Step 4: Simplify right side
    321,149.91x = 78,825,092,774.01
  5. Step 5: Solve for x
    x = 78,825,092,774.01/321,149.91
  6. Step 6: Final answer
    x = 245,446.41

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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.