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Finding the Fourth Proportional to 652,255.20, 978,382.80 and 427,723.20

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Solution

The fourth proportional to 652,255.20, 978,382.80 and 427,723.20 is: 641,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,255.20 : 978,382.80 = 427,723.20 : x
  2. Step 2: Convert to fraction form
    652,255.20/978,382.80 = 427,723.20/x
  3. Step 3: Cross multiply
    652,255.20x = 978,382.80 × 427,723.20
  4. Step 4: Simplify right side
    652,255.20x = 418,477,022,040.96
  5. Step 5: Solve for x
    x = 418,477,022,040.96/652,255.20
  6. Step 6: Final answer
    x = 641,584.80

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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.