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Finding the Fourth Proportional to 471,273.16, 706,642.08 and 321,694.60

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Solution

The fourth proportional to 471,273.16, 706,642.08 and 321,694.60 is: 482,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,273.16 : 706,642.08 = 321,694.60 : x
  2. Step 2: Convert to fraction form
    471,273.16/706,642.08 = 321,694.60/x
  3. Step 3: Cross multiply
    471,273.16x = 706,642.08 × 321,694.60
  4. Step 4: Simplify right side
    471,273.16x = 227,322,941,268.77
  5. Step 5: Solve for x
    x = 227,322,941,268.77/471,273.16
  6. Step 6: Final answer
    x = 482,359.19

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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.