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Finding the Fourth Proportional to 305,955.48, 458,863.92 and 116,348.28

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Solution

The fourth proportional to 305,955.48, 458,863.92 and 116,348.28 is: 174,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955.48 : 458,863.92 = 116,348.28 : x
  2. Step 2: Convert to fraction form
    305,955.48/458,863.92 = 116,348.28/x
  3. Step 3: Cross multiply
    305,955.48x = 458,863.92 × 116,348.28
  4. Step 4: Simplify right side
    305,955.48x = 53,388,027,846.06
  5. Step 5: Solve for x
    x = 53,388,027,846.06/305,955.48
  6. Step 6: Final answer
    x = 174,496.07

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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.