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Finding the Fourth Proportional to 413,740.80, 620,918.40 and 164,601.60

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Solution

The fourth proportional to 413,740.80, 620,918.40 and 164,601.60 is: 247,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,740.80 : 620,918.40 = 164,601.60 : x
  2. Step 2: Convert to fraction form
    413,740.80/620,918.40 = 164,601.60/x
  3. Step 3: Cross multiply
    413,740.80x = 620,918.40 × 164,601.60
  4. Step 4: Simplify right side
    413,740.80x = 102,204,162,109.44
  5. Step 5: Solve for x
    x = 102,204,162,109.44/413,740.80
  6. Step 6: Final answer
    x = 247,024.62

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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.