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Finding the Fourth Proportional to 409,606.38, 564,993.03 and 271,782.30

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Solution

The fourth proportional to 409,606.38, 564,993.03 and 271,782.30 is: 374,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,606.38 : 564,993.03 = 271,782.30 : x
  2. Step 2: Convert to fraction form
    409,606.38/564,993.03 = 271,782.30/x
  3. Step 3: Cross multiply
    409,606.38x = 564,993.03 × 271,782.30
  4. Step 4: Simplify right side
    409,606.38x = 153,555,105,177.37
  5. Step 5: Solve for x
    x = 153,555,105,177.37/409,606.38
  6. Step 6: Final answer
    x = 374,884.55

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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.