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Finding the Fourth Proportional to 397,462.80, 596,194.20 and 271,491.60

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Solution

The fourth proportional to 397,462.80, 596,194.20 and 271,491.60 is: 407,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,462.80 : 596,194.20 = 271,491.60 : x
  2. Step 2: Convert to fraction form
    397,462.80/596,194.20 = 271,491.60/x
  3. Step 3: Cross multiply
    397,462.80x = 596,194.20 × 271,491.60
  4. Step 4: Simplify right side
    397,462.80x = 161,861,717,268.72
  5. Step 5: Solve for x
    x = 161,861,717,268.72/397,462.80
  6. Step 6: Final answer
    x = 407,237.40

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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.