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Finding the Fourth Proportional to 327,009.38, 490,057.35 and 158,484.96

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Solution

The fourth proportional to 327,009.38, 490,057.35 and 158,484.96 is: 237,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,009.38 : 490,057.35 = 158,484.96 : x
  2. Step 2: Convert to fraction form
    327,009.38/490,057.35 = 158,484.96/x
  3. Step 3: Cross multiply
    327,009.38x = 490,057.35 × 158,484.96
  4. Step 4: Simplify right side
    327,009.38x = 77,666,719,512.46
  5. Step 5: Solve for x
    x = 77,666,719,512.46/327,009.38
  6. Step 6: Final answer
    x = 237,506.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.