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Finding the Fourth Proportional to 306,227.64, 459,351.72 and 106,564.80

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Solution

The fourth proportional to 306,227.64, 459,351.72 and 106,564.80 is: 159,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,227.64 : 459,351.72 = 106,564.80 : x
  2. Step 2: Convert to fraction form
    306,227.64/459,351.72 = 106,564.80/x
  3. Step 3: Cross multiply
    306,227.64x = 459,351.72 × 106,564.80
  4. Step 4: Simplify right side
    306,227.64x = 48,950,724,171.46
  5. Step 5: Solve for x
    x = 48,950,724,171.46/306,227.64
  6. Step 6: Final answer
    x = 159,850.77

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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.