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Finding the Fourth Proportional to 332,497.80, 498,819.60 and 164,098.80

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Solution

The fourth proportional to 332,497.80, 498,819.60 and 164,098.80 is: 246,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,497.80 : 498,819.60 = 164,098.80 : x
  2. Step 2: Convert to fraction form
    332,497.80/498,819.60 = 164,098.80/x
  3. Step 3: Cross multiply
    332,497.80x = 498,819.60 × 164,098.80
  4. Step 4: Simplify right side
    332,497.80x = 81,855,697,776.48
  5. Step 5: Solve for x
    x = 81,855,697,776.48/332,497.80
  6. Step 6: Final answer
    x = 246,184.18

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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.