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Finding the Fourth Proportional to 278,017.18, 383,629.36 and 197,415.29

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Solution

The fourth proportional to 278,017.18, 383,629.36 and 197,415.29 is: 272,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,017.18 : 383,629.36 = 197,415.29 : x
  2. Step 2: Convert to fraction form
    278,017.18/383,629.36 = 197,415.29/x
  3. Step 3: Cross multiply
    278,017.18x = 383,629.36 × 197,415.29
  4. Step 4: Simplify right side
    278,017.18x = 75,734,300,863.38
  5. Step 5: Solve for x
    x = 75,734,300,863.38/278,017.18
  6. Step 6: Final answer
    x = 272,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.