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Finding the Fourth Proportional to 305,755.92, 458,713.08 and 116,219.52

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Solution

The fourth proportional to 305,755.92, 458,713.08 and 116,219.52 is: 174,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,755.92 : 458,713.08 = 116,219.52 : x
  2. Step 2: Convert to fraction form
    305,755.92/458,713.08 = 116,219.52/x
  3. Step 3: Cross multiply
    305,755.92x = 458,713.08 × 116,219.52
  4. Step 4: Simplify right side
    305,755.92x = 53,311,413,975.32
  5. Step 5: Solve for x
    x = 53,311,413,975.32/305,755.92
  6. Step 6: Final answer
    x = 174,359.38

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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.