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Finding the Fourth Proportional to 416,092.14, 624,173.79 and 146,196.82

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Solution

The fourth proportional to 416,092.14, 624,173.79 and 146,196.82 is: 219,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,092.14 : 624,173.79 = 146,196.82 : x
  2. Step 2: Convert to fraction form
    416,092.14/624,173.79 = 146,196.82/x
  3. Step 3: Cross multiply
    416,092.14x = 624,173.79 × 146,196.82
  4. Step 4: Simplify right side
    416,092.14x = 91,252,222,494.36
  5. Step 5: Solve for x
    x = 91,252,222,494.36/416,092.14
  6. Step 6: Final answer
    x = 219,307.73

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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.