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Finding the Fourth Proportional to 471,043.44, 706,297.59 and 321,464.94

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Solution

The fourth proportional to 471,043.44, 706,297.59 and 321,464.94 is: 482,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,043.44 : 706,297.59 = 321,464.94 : x
  2. Step 2: Convert to fraction form
    471,043.44/706,297.59 = 321,464.94/x
  3. Step 3: Cross multiply
    471,043.44x = 706,297.59 × 321,464.94
  4. Step 4: Simplify right side
    471,043.44x = 227,049,912,391.50
  5. Step 5: Solve for x
    x = 227,049,912,391.50/471,043.44
  6. Step 6: Final answer
    x = 482,014.80

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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.