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Finding the Fourth Proportional to 276,649.40, 414,974.10 and 164,456.30

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Solution

The fourth proportional to 276,649.40, 414,974.10 and 164,456.30 is: 246,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,649.40 : 414,974.10 = 164,456.30 : x
  2. Step 2: Convert to fraction form
    276,649.40/414,974.10 = 164,456.30/x
  3. Step 3: Cross multiply
    276,649.40x = 414,974.10 × 164,456.30
  4. Step 4: Simplify right side
    276,649.40x = 68,245,105,081.83
  5. Step 5: Solve for x
    x = 68,245,105,081.83/276,649.40
  6. Step 6: Final answer
    x = 246,684.45

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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.