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Finding the Fourth Proportional to 446,105.40, 668,936.70 and 161,784.60

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Solution

The fourth proportional to 446,105.40, 668,936.70 and 161,784.60 is: 242,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,105.40 : 668,936.70 = 161,784.60 : x
  2. Step 2: Convert to fraction form
    446,105.40/668,936.70 = 161,784.60/x
  3. Step 3: Cross multiply
    446,105.40x = 668,936.70 × 161,784.60
  4. Step 4: Simplify right side
    446,105.40x = 108,223,656,434.82
  5. Step 5: Solve for x
    x = 108,223,656,434.82/446,105.40
  6. Step 6: Final answer
    x = 242,596.61

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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.