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Finding the Fourth Proportional to 276,282.66, 414,424.80 and 226,705.80

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Solution

The fourth proportional to 276,282.66, 414,424.80 and 226,705.80 is: 340,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,282.66 : 414,424.80 = 226,705.80 : x
  2. Step 2: Convert to fraction form
    276,282.66/414,424.80 = 226,705.80/x
  3. Step 3: Cross multiply
    276,282.66x = 414,424.80 × 226,705.80
  4. Step 4: Simplify right side
    276,282.66x = 93,952,505,823.84
  5. Step 5: Solve for x
    x = 93,952,505,823.84/276,282.66
  6. Step 6: Final answer
    x = 340,059.36

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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.