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Finding the Fourth Proportional to 471,034.40, 706,551.60 and 419,424.80

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Solution

The fourth proportional to 471,034.40, 706,551.60 and 419,424.80 is: 629,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,034.40 : 706,551.60 = 419,424.80 : x
  2. Step 2: Convert to fraction form
    471,034.40/706,551.60 = 419,424.80/x
  3. Step 3: Cross multiply
    471,034.40x = 706,551.60 × 419,424.80
  4. Step 4: Simplify right side
    471,034.40x = 296,345,263,519.68
  5. Step 5: Solve for x
    x = 296,345,263,519.68/471,034.40
  6. Step 6: Final answer
    x = 629,137.20

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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.