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Finding the Fourth Proportional to 219,236.44, 328,851.78 and 53,023

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Solution

The fourth proportional to 219,236.44, 328,851.78 and 53,023 is: 79,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,236.44 : 328,851.78 = 53,023 : x
  2. Step 2: Convert to fraction form
    219,236.44/328,851.78 = 53,023/x
  3. Step 3: Cross multiply
    219,236.44x = 328,851.78 × 53,023
  4. Step 4: Simplify right side
    219,236.44x = 17,436,707,930.94
  5. Step 5: Solve for x
    x = 17,436,707,930.94/219,236.44
  6. Step 6: Final answer
    x = 79,533.80

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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.