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Finding the Fourth Proportional to 321,416.96, 443,525.54 and 178,164.80

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Solution

The fourth proportional to 321,416.96, 443,525.54 and 178,164.80 is: 245,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.96 : 443,525.54 = 178,164.80 : x
  2. Step 2: Convert to fraction form
    321,416.96/443,525.54 = 178,164.80/x
  3. Step 3: Cross multiply
    321,416.96x = 443,525.54 × 178,164.80
  4. Step 4: Simplify right side
    321,416.96x = 79,020,639,128.99
  5. Step 5: Solve for x
    x = 79,020,639,128.99/321,416.96
  6. Step 6: Final answer
    x = 245,850.87

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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.