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Finding the Fourth Proportional to 274,477.20, 410,913.90 and 195,745.20

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Solution

The fourth proportional to 274,477.20, 410,913.90 and 195,745.20 is: 293,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,477.20 : 410,913.90 = 195,745.20 : x
  2. Step 2: Convert to fraction form
    274,477.20/410,913.90 = 195,745.20/x
  3. Step 3: Cross multiply
    274,477.20x = 410,913.90 × 195,745.20
  4. Step 4: Simplify right side
    274,477.20x = 80,434,423,538.28
  5. Step 5: Solve for x
    x = 80,434,423,538.28/274,477.20
  6. Step 6: Final answer
    x = 293,045.92

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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.