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Finding the Fourth Proportional to 471,233.88, 706,990.14 and 271,697.40

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Solution

The fourth proportional to 471,233.88, 706,990.14 and 271,697.40 is: 407,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,233.88 : 706,990.14 = 271,697.40 : x
  2. Step 2: Convert to fraction form
    471,233.88/706,990.14 = 271,697.40/x
  3. Step 3: Cross multiply
    471,233.88x = 706,990.14 × 271,697.40
  4. Step 4: Simplify right side
    471,233.88x = 192,087,382,863.64
  5. Step 5: Solve for x
    x = 192,087,382,863.64/471,233.88
  6. Step 6: Final answer
    x = 407,626.43

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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.