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Finding the Fourth Proportional to 409,464.38, 564,760.06 and 271,393.60

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Solution

The fourth proportional to 409,464.38, 564,760.06 and 271,393.60 is: 374,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,464.38 : 564,760.06 = 271,393.60 : x
  2. Step 2: Convert to fraction form
    409,464.38/564,760.06 = 271,393.60/x
  3. Step 3: Cross multiply
    409,464.38x = 564,760.06 × 271,393.60
  4. Step 4: Simplify right side
    409,464.38x = 153,272,265,819.62
  5. Step 5: Solve for x
    x = 153,272,265,819.62/409,464.38
  6. Step 6: Final answer
    x = 374,323.81

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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.