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Finding the Fourth Proportional to 416,729.58, 624,437.64 and 322,190.34

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Solution

The fourth proportional to 416,729.58, 624,437.64 and 322,190.34 is: 482,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,729.58 : 624,437.64 = 322,190.34 : x
  2. Step 2: Convert to fraction form
    416,729.58/624,437.64 = 322,190.34/x
  3. Step 3: Cross multiply
    416,729.58x = 624,437.64 × 322,190.34
  4. Step 4: Simplify right side
    416,729.58x = 201,187,775,540.40
  5. Step 5: Solve for x
    x = 201,187,775,540.40/416,729.58
  6. Step 6: Final answer
    x = 482,777.77

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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.