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Finding the Fourth Proportional to 274,659.40, 411,989.10 and 219,363.40

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Solution

The fourth proportional to 274,659.40, 411,989.10 and 219,363.40 is: 329,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,659.40 : 411,989.10 = 219,363.40 : x
  2. Step 2: Convert to fraction form
    274,659.40/411,989.10 = 219,363.40/x
  3. Step 3: Cross multiply
    274,659.40x = 411,989.10 × 219,363.40
  4. Step 4: Simplify right side
    274,659.40x = 90,375,329,738.94
  5. Step 5: Solve for x
    x = 90,375,329,738.94/274,659.40
  6. Step 6: Final answer
    x = 329,045.10

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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.