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Finding the Fourth Proportional to 320,274.70, 441,971.31 and 177,031.06

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Solution

The fourth proportional to 320,274.70, 441,971.31 and 177,031.06 is: 244,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,274.70 : 441,971.31 = 177,031.06 : x
  2. Step 2: Convert to fraction form
    320,274.70/441,971.31 = 177,031.06/x
  3. Step 3: Cross multiply
    320,274.70x = 441,971.31 × 177,031.06
  4. Step 4: Simplify right side
    320,274.70x = 78,242,649,498.89
  5. Step 5: Solve for x
    x = 78,242,649,498.89/320,274.70
  6. Step 6: Final answer
    x = 244,298.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.