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Finding the Fourth Proportional to 305,607.75, 458,713.32 and 229,441.37

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Solution

The fourth proportional to 305,607.75, 458,713.32 and 229,441.37 is: 344,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,607.75 : 458,713.32 = 229,441.37 : x
  2. Step 2: Convert to fraction form
    305,607.75/458,713.32 = 229,441.37/x
  3. Step 3: Cross multiply
    305,607.75x = 458,713.32 × 229,441.37
  4. Step 4: Simplify right side
    305,607.75x = 105,247,814,262.66
  5. Step 5: Solve for x
    x = 105,247,814,262.66/305,607.75
  6. Step 6: Final answer
    x = 344,388.57

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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.