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Finding the Fourth Proportional to 305,733, 458,431.11 and 163,744.68

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Solution

The fourth proportional to 305,733, 458,431.11 and 163,744.68 is: 245,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,733 : 458,431.11 = 163,744.68 : x
  2. Step 2: Convert to fraction form
    305,733/458,431.11 = 163,744.68/x
  3. Step 3: Cross multiply
    305,733x = 458,431.11 × 163,744.68
  4. Step 4: Simplify right side
    305,733x = 75,065,655,408.99
  5. Step 5: Solve for x
    x = 75,065,655,408.99/305,733
  6. Step 6: Final answer
    x = 245,526.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.