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Finding the Fourth Proportional to 276,822.10, 414,905.10 and 143,633.80

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Solution

The fourth proportional to 276,822.10, 414,905.10 and 143,633.80 is: 215,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,822.10 : 414,905.10 = 143,633.80 : x
  2. Step 2: Convert to fraction form
    276,822.10/414,905.10 = 143,633.80/x
  3. Step 3: Cross multiply
    276,822.10x = 414,905.10 × 143,633.80
  4. Step 4: Simplify right side
    276,822.10x = 59,594,396,152.38
  5. Step 5: Solve for x
    x = 59,594,396,152.38/276,822.10
  6. Step 6: Final answer
    x = 215,280.49

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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.