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Finding the Fourth Proportional to 332,521.80, 498,855.60 and 164,122.80

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Solution

The fourth proportional to 332,521.80, 498,855.60 and 164,122.80 is: 246,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,521.80 : 498,855.60 = 164,122.80 : x
  2. Step 2: Convert to fraction form
    332,521.80/498,855.60 = 164,122.80/x
  3. Step 3: Cross multiply
    332,521.80x = 498,855.60 × 164,122.80
  4. Step 4: Simplify right side
    332,521.80x = 81,873,577,867.68
  5. Step 5: Solve for x
    x = 81,873,577,867.68/332,521.80
  6. Step 6: Final answer
    x = 246,220.18

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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.