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Finding the Fourth Proportional to 321,457.41, 443,622.03 and 178,208.91

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Solution

The fourth proportional to 321,457.41, 443,622.03 and 178,208.91 is: 245,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,457.41 : 443,622.03 = 178,208.91 : x
  2. Step 2: Convert to fraction form
    321,457.41/443,622.03 = 178,208.91/x
  3. Step 3: Cross multiply
    321,457.41x = 443,622.03 × 178,208.91
  4. Step 4: Simplify right side
    321,457.41x = 79,057,398,418.29
  5. Step 5: Solve for x
    x = 79,057,398,418.29/321,457.41
  6. Step 6: Final answer
    x = 245,934.29

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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.