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Finding the Fourth Proportional to 332,494.80, 498,815.10 and 164,095.80

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Solution

The fourth proportional to 332,494.80, 498,815.10 and 164,095.80 is: 246,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,494.80 : 498,815.10 = 164,095.80 : x
  2. Step 2: Convert to fraction form
    332,494.80/498,815.10 = 164,095.80/x
  3. Step 3: Cross multiply
    332,494.80x = 498,815.10 × 164,095.80
  4. Step 4: Simplify right side
    332,494.80x = 81,853,462,886.58
  5. Step 5: Solve for x
    x = 81,853,462,886.58/332,494.80
  6. Step 6: Final answer
    x = 246,179.68

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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.