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Finding the Fourth Proportional to 363,238.56, 544,857.84 and 113,940

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Solution

The fourth proportional to 363,238.56, 544,857.84 and 113,940 is: 170,910

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,238.56 : 544,857.84 = 113,940 : x
  2. Step 2: Convert to fraction form
    363,238.56/544,857.84 = 113,940/x
  3. Step 3: Cross multiply
    363,238.56x = 544,857.84 × 113,940
  4. Step 4: Simplify right side
    363,238.56x = 62,081,102,289.60
  5. Step 5: Solve for x
    x = 62,081,102,289.60/363,238.56
  6. Step 6: Final answer
    x = 170,910

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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.