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Finding the Fourth Proportional to 305,632.08, 458,453.76 and 105,958.96

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Solution

The fourth proportional to 305,632.08, 458,453.76 and 105,958.96 is: 158,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,632.08 : 458,453.76 = 105,958.96 : x
  2. Step 2: Convert to fraction form
    305,632.08/458,453.76 = 105,958.96/x
  3. Step 3: Cross multiply
    305,632.08x = 458,453.76 × 105,958.96
  4. Step 4: Simplify right side
    305,632.08x = 48,577,283,617.69
  5. Step 5: Solve for x
    x = 48,577,283,617.69/305,632.08
  6. Step 6: Final answer
    x = 158,940.40

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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.