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Finding the Fourth Proportional to 219,235.44, 328,850.28 and 53,022

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Solution

The fourth proportional to 219,235.44, 328,850.28 and 53,022 is: 79,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,235.44 : 328,850.28 = 53,022 : x
  2. Step 2: Convert to fraction form
    219,235.44/328,850.28 = 53,022/x
  3. Step 3: Cross multiply
    219,235.44x = 328,850.28 × 53,022
  4. Step 4: Simplify right side
    219,235.44x = 17,436,299,546.16
  5. Step 5: Solve for x
    x = 17,436,299,546.16/219,235.44
  6. Step 6: Final answer
    x = 79,532.30

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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.