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Finding the Fourth Proportional to 416,625.47, 624,970.61 and 136,171.07

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Solution

The fourth proportional to 416,625.47, 624,970.61 and 136,171.07 is: 204,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,625.47 : 624,970.61 = 136,171.07 : x
  2. Step 2: Convert to fraction form
    416,625.47/624,970.61 = 136,171.07/x
  3. Step 3: Cross multiply
    416,625.47x = 624,970.61 × 136,171.07
  4. Step 4: Simplify right side
    416,625.47x = 85,102,912,876.54
  5. Step 5: Solve for x
    x = 85,102,912,876.54/416,625.47
  6. Step 6: Final answer
    x = 204,267.19

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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.