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Finding the Fourth Proportional to 453,563.74, 680,566.92 and 285,163.24

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Solution

The fourth proportional to 453,563.74, 680,566.92 and 285,163.24 is: 427,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,563.74 : 680,566.92 = 285,163.24 : x
  2. Step 2: Convert to fraction form
    453,563.74/680,566.92 = 285,163.24/x
  3. Step 3: Cross multiply
    453,563.74x = 680,566.92 × 285,163.24
  4. Step 4: Simplify right side
    453,563.74x = 194,072,667,944.02
  5. Step 5: Solve for x
    x = 194,072,667,944.02/453,563.74
  6. Step 6: Final answer
    x = 427,884.00

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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.