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Finding the Fourth Proportional to 321,273.01, 443,351.44 and 176,077.68

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Solution

The fourth proportional to 321,273.01, 443,351.44 and 176,077.68 is: 242,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,273.01 : 443,351.44 = 176,077.68 : x
  2. Step 2: Convert to fraction form
    321,273.01/443,351.44 = 176,077.68/x
  3. Step 3: Cross multiply
    321,273.01x = 443,351.44 × 176,077.68
  4. Step 4: Simplify right side
    321,273.01x = 78,064,289,882.71
  5. Step 5: Solve for x
    x = 78,064,289,882.71/321,273.01
  6. Step 6: Final answer
    x = 242,984.28

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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.