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Finding the Fourth Proportional to 471,173.40, 706,760.10 and 419,563.80

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Solution

The fourth proportional to 471,173.40, 706,760.10 and 419,563.80 is: 629,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,173.40 : 706,760.10 = 419,563.80 : x
  2. Step 2: Convert to fraction form
    471,173.40/706,760.10 = 419,563.80/x
  3. Step 3: Cross multiply
    471,173.40x = 706,760.10 × 419,563.80
  4. Step 4: Simplify right side
    471,173.40x = 296,530,953,244.38
  5. Step 5: Solve for x
    x = 296,530,953,244.38/471,173.40
  6. Step 6: Final answer
    x = 629,345.70

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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.