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Finding the Fourth Proportional to 332,257, 498,380.80 and 154,664.68

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Solution

The fourth proportional to 332,257, 498,380.80 and 154,664.68 is: 231,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,257 : 498,380.80 = 154,664.68 : x
  2. Step 2: Convert to fraction form
    332,257/498,380.80 = 154,664.68/x
  3. Step 3: Cross multiply
    332,257x = 498,380.80 × 154,664.68
  4. Step 4: Simplify right side
    332,257x = 77,081,906,950.14
  5. Step 5: Solve for x
    x = 77,081,906,950.14/332,257
  6. Step 6: Final answer
    x = 231,994.83

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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.