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Finding the Fourth Proportional to 397,604.30, 596,301.75 and 271,221.01

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Solution

The fourth proportional to 397,604.30, 596,301.75 and 271,221.01 is: 406,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,604.30 : 596,301.75 = 271,221.01 : x
  2. Step 2: Convert to fraction form
    397,604.30/596,301.75 = 271,221.01/x
  3. Step 3: Cross multiply
    397,604.30x = 596,301.75 × 271,221.01
  4. Step 4: Simplify right side
    397,604.30x = 161,729,561,409.01
  5. Step 5: Solve for x
    x = 161,729,561,409.01/397,604.30
  6. Step 6: Final answer
    x = 406,760.10

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