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Finding the Fourth Proportional to 471,451.76, 706,052.01 and 271,351.54

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Solution

The fourth proportional to 471,451.76, 706,052.01 and 271,351.54 is: 406,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,451.76 : 706,052.01 = 271,351.54 : x
  2. Step 2: Convert to fraction form
    471,451.76/706,052.01 = 271,351.54/x
  3. Step 3: Cross multiply
    471,451.76x = 706,052.01 × 271,351.54
  4. Step 4: Simplify right side
    471,451.76x = 191,588,297,381.71
  5. Step 5: Solve for x
    x = 191,588,297,381.71/471,451.76
  6. Step 6: Final answer
    x = 406,379.43

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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.