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Finding the Fourth Proportional to 276,054.10, 413,821.95 and 216,049.30

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Solution

The fourth proportional to 276,054.10, 413,821.95 and 216,049.30 is: 323,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,054.10 : 413,821.95 = 216,049.30 : x
  2. Step 2: Convert to fraction form
    276,054.10/413,821.95 = 216,049.30/x
  3. Step 3: Cross multiply
    276,054.10x = 413,821.95 × 216,049.30
  4. Step 4: Simplify right side
    276,054.10x = 89,405,942,622.14
  5. Step 5: Solve for x
    x = 89,405,942,622.14/276,054.10
  6. Step 6: Final answer
    x = 323,871.09

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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.