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Finding the Fourth Proportional to 416,285.21, 624,676.94 and 179,627.91

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Solution

The fourth proportional to 416,285.21, 624,676.94 and 179,627.91 is: 269,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,285.21 : 624,676.94 = 179,627.91 : x
  2. Step 2: Convert to fraction form
    416,285.21/624,676.94 = 179,627.91/x
  3. Step 3: Cross multiply
    416,285.21x = 624,676.94 × 179,627.91
  4. Step 4: Simplify right side
    416,285.21x = 112,209,412,259.26
  5. Step 5: Solve for x
    x = 112,209,412,259.26/416,285.21
  6. Step 6: Final answer
    x = 269,549.36

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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.