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Finding the Fourth Proportional to 384,205.20, 576,262.44 and 103,744.32

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Solution

The fourth proportional to 384,205.20, 576,262.44 and 103,744.32 is: 155,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,205.20 : 576,262.44 = 103,744.32 : x
  2. Step 2: Convert to fraction form
    384,205.20/576,262.44 = 103,744.32/x
  3. Step 3: Cross multiply
    384,205.20x = 576,262.44 × 103,744.32
  4. Step 4: Simplify right side
    384,205.20x = 59,783,954,979.34
  5. Step 5: Solve for x
    x = 59,783,954,979.34/384,205.20
  6. Step 6: Final answer
    x = 155,604.23

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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.