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Finding the Fourth Proportional to 471,462.28, 650,608.86 and 256,607.08

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Solution

The fourth proportional to 471,462.28, 650,608.86 and 256,607.08 is: 354,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,462.28 : 650,608.86 = 256,607.08 : x
  2. Step 2: Convert to fraction form
    471,462.28/650,608.86 = 256,607.08/x
  3. Step 3: Cross multiply
    471,462.28x = 650,608.86 × 256,607.08
  4. Step 4: Simplify right side
    471,462.28x = 166,950,839,786.73
  5. Step 5: Solve for x
    x = 166,950,839,786.73/471,462.28
  6. Step 6: Final answer
    x = 354,112.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.