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Finding the Fourth Proportional to 320,232.38, 441,943.56 and 176,989.34

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Solution

The fourth proportional to 320,232.38, 441,943.56 and 176,989.34 is: 244,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,232.38 : 441,943.56 = 176,989.34 : x
  2. Step 2: Convert to fraction form
    320,232.38/441,943.56 = 176,989.34/x
  3. Step 3: Cross multiply
    320,232.38x = 441,943.56 × 176,989.34
  4. Step 4: Simplify right side
    320,232.38x = 78,219,299,001.65
  5. Step 5: Solve for x
    x = 78,219,299,001.65/320,232.38
  6. Step 6: Final answer
    x = 244,257.93

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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.