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Finding the Fourth Proportional to 469,589.25, 704,383.89 and 220,271.25

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Solution

The fourth proportional to 469,589.25, 704,383.89 and 220,271.25 is: 330,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,589.25 : 704,383.89 = 220,271.25 : x
  2. Step 2: Convert to fraction form
    469,589.25/704,383.89 = 220,271.25/x
  3. Step 3: Cross multiply
    469,589.25x = 704,383.89 × 220,271.25
  4. Step 4: Simplify right side
    469,589.25x = 155,155,519,930.16
  5. Step 5: Solve for x
    x = 155,155,519,930.16/469,589.25
  6. Step 6: Final answer
    x = 330,406.88

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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.