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Finding the Fourth Proportional to 305,722.76, 458,583.53 and 200,517.12

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Solution

The fourth proportional to 305,722.76, 458,583.53 and 200,517.12 is: 300,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,722.76 : 458,583.53 = 200,517.12 : x
  2. Step 2: Convert to fraction form
    305,722.76/458,583.53 = 200,517.12/x
  3. Step 3: Cross multiply
    305,722.76x = 458,583.53 × 200,517.12
  4. Step 4: Simplify right side
    305,722.76x = 91,953,847,712.45
  5. Step 5: Solve for x
    x = 91,953,847,712.45/305,722.76
  6. Step 6: Final answer
    x = 300,775.28

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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.